We present results of our intermediate-band optical imaging survey for high- z Ly \alpha emitters ( LAEs ) using the prime focus camera , Suprime-Cam , on the 8.2m Subaru Telescope . In our survey , we use eleven filters ; four broad-band filters ( B , R _ { c } , i ^ { \prime } , and z ^ { \prime } ) and seven intermediate-band filters covering from 500 nm to 720 nm ; we call this imaging program as the Mahoroba-11 . The seven intermediate-band filters are selected from the IA filter series that is the Suprime-Cam intermediate-band filter system whose spectral resolution is R = 23 . Our survey has been made in a 34 ^ { \prime } \times 27 ^ { \prime } sky area in the Subaru XMM Newton Deep Survey field . We have found 409 IA-excess objects that provide us a large photometric sample of strong emission-line objects . Applying the photometric redshift method to this sample , we obtained a new sample of 198 LAE candidates at 3 < z < 5 . We found that there is no evidence for evolution of the number density and the star formation rate density for LAEs with \log L ( { Ly } \alpha ) ( { erg s ^ { -1 } } ) > 42.67 between z \sim 3 and 5 .