Its a little while since I went through it all. I was given 10 days official notice. I had heard I had been successful (because I phoned them) about a month out, but given three different start dates. Once finalised, it was less than two weeks to start.
They are extremely poor comunicators. If you haven't heard soon, I would call, but expect a curt response, wondering why you had the audacity to want to know. No long term damage though.
I think they must have an official policy not responding to email. I wouldn't waste much time with that.
Good luck (I think)