We present ELODIE.3.1 , an updated release of the library published in Prugniel & Soubiran ( 2001 , 2004 ) . The library includes 1962 spectra of 1388 stars obtained with the ELODIE spectrograph at the Observatoire de Haute-Provence 193cm telescope in the wavelength range 390 to 680 nm . It provides a wide coverage of atmospheric parameters : T _ { eff } from 3100 K to 50000 K , logg from -0.25 to 4.9 and [ Fe/H ] from -3 to +1 . The library is given at two resolutions : R \approx 42000 , with the flux normalized to the pseudo-continuum , FWHM=0.55Å ( R \approx 10000 ) calibrated in physical flux ( reduced above earth atmosphere ) with a broad-band photometric precision of 2.5 % and narrow-band precision of 0.5 % . In this new release the data-reduction ( flux calibration , reconnection of the echelle orders ) has been improved , and in particular the blue region , between 390 and 400 nm has been added . The FITS files for each spectra , and the measured atmospheric parameters are publicly available . See the ELODIE.3.1 page for more details : http : //www.obs.u-bordeaux1.fr/m2a/soubiran/elodie_library.html Email : prugniel @ obs.univ-lyon1.fr