We present a study of stellar population of Lyman Alpha Emitters ( LAEs ) at z = 4.86 in the Great Observatories Origins Deep Survey ( GOODS ) North field and its flanking field . The LAEs are selected based on optical narrowband ( NB711 ) and broadband ( V , I _ { c } , and z ^ { \prime } ) observations by Suprime-Cam attached on Subaru Telescope . With the publicly available IRAC data in GOODS-N and further IRAC observations in the flanking fields , we select five LAEs which are not contaminated by neighboring objects in IRAC images and construct their observed spectral energy distributions ( SEDs ) with I _ { c } , z ^ { \prime } , IRAC 3.6µm , and 4.5µm band photometry . The SEDs cover the rest-frame UV to optical wavelengths . We derive stellar masses , ages , color excesses , and star formation rates of five LAEs using SED fitting method . Assuming the constant star formation history , we find that the stellar masses range from 10 ^ { 8 } to 10 ^ { 10 } M _ { \odot } with the median value of 2.5 \times 10 ^ { 9 } M _ { \odot } . The derived ages range from very young ages ( 7.4 Myr ) to 437 Myr with a median age of 25 Myr . The color excess E ( B - V ) are between 0.1 - 0.4 mag . Star formation rates are 55 - 209 M _ { \odot } yr ^ { -1 } . A comparison of the stellar populations is made between three LAEs and 88 LBGs selected at the same redshift , in the same observed field , and down to the same limit of the rest-frame UV luminosity . These three LAEs are the brightest and reddest samples among the whole LAE samples at z = 4.86 . The LAEs distribute at the relatively faint part of UV-luminosity distribution of LBGs . Deriving the stellar properties of the LBGs by fitting their SEDs with the same model ensures that model difference does not affect the comparison . It is found that the stellar properties of the LAEs lie on distributions of those of LBGs . On average , the LAEs show less dust extinction , and lower star formation rates than LBGs , while the stellar mass of LAEs nearly lies in the middle part of the mass distribution of LBGs . However , the stellar properties of LAEs and LBGs are similar at the fixed UV or optical luminosity . We also examine the relations between the output properties from the SED fitting and the rest-frame Ly \alpha equivalent width , but can not find any significant correlation .