Roseway's right... doing that is absolutely fine - if you don't use the modem overnight there's not much point in it being on! So no problem with turning it off at night.
There's a couple of things you might like to know for future reference:
1. BT's DLM technology they use to try and regulate the line stability doesn't like too many resyncs in a short space of time (i.e. disconnecting, turning the modem off and on again). As I said above once a day will not affect this though, but several times per hour will - I don't think anyone outside of BT wholesale knows the actual thresholds though.
2. Some people say that if you get stuck with a slow BRAS profile, then turning your router off overnight for a few days can spur it back into life again... for me the jury's out on that one but it doesn't hurt to try.
Unrelated really to your original question, but it might come in useful