I often play at night my time
so around 10 PM /11 PM my time (I think that's probably 4 PM/5 PM your time, if I'm not completely wrong...)
but I don't have my internet connection turned on in the game most of the time, because I don't want any trading battling requests since I have nothing to trade yet and don't have battling team
I sometimes surf the forums using my 3DS, I could probably switch over to the game pretty quickly then