In the head section of your page (if you open up the HTML on the home page), there's a few issues I see:
1) The following is called. I'm not sure what's including this, but it needs to be removed as it is likely causing the login problems:
LazyLoad.js('http://connect.facebook.net/fr_FR/all.js#xfbml=1', function(){});2) The code that JFBConnect inserts into the header of the page is being duplicated 6 times (look for jfbcBase and you'll see it). I'm not sure what's causing this, but it's likely a caching issue. Can you try disabling cache, temporarily, to see if that improves the situation? If so, we can help you from there to re-enable it.
Thanks,
Alex
login facebook button doesn't work
