Okay everybody calm down
It was the battery's fault...
I took the battery back to the shop, and they certify (after an examination with some kind of battery machine, I don't know the english name of it) that the battery is okay.
So I took the bike to my service, I told them the battery is good so there could be an other problem. My man make a jumpstart, then change the battery with an old one, in both case the engine started flawlessly. So it was the battery after all...
Now I am try to change back my battery, but they are not admiting my garantiee recleam, beacause "the battery is good".
This is Hungary, year 2016..