Can you check something: right click on the FR on the language bar on the taskbar > Settings > what keyboard is mentioned in Installed services?
Probably you have a French with a French keyboard layout (is it?), so everything should be OK...
but it's not, so...
Does your Alt Gr work in general (for example, can you press Alt Gr + ' to get { )? Only this combination Alt Gr+E is not working, right?
Some third party software may interfere using this keyboard shortcut. Do you have some software preinstalled with your laptop which is running in a background and may use Rigth Alt+E to its own purposes?
...
Another thing: press Start > type in search box On-screen keyboard and press enter (you will get on-screen keyboard) > press AltGr and see how the keys on your on-screen keyboard were changed. Do you see euro symbol there where it suppose to be?