Coach's advice is important and good, though at the same time I'd argue it's not gospel either, depending on your level of experience. Just start out easy for your first few trips back out on the road, don't go long, hard, or far. If your body is okay with that, then amp it up a bit and see how that feels. I like to think of it kind of like a reverse taper. (Which is very different than the 10% buildup rule, since you're already in shape to do long runs)
After my first marathon, I did nothing for two weeks. After my second, I had another planned only four weeks out, so I was running that same week, and running long by the following weekend again. Listening to your body is the most important thing.
Assuming this was your first marathon, don't hesitate to take plenty of time. If your body feels ready sooner, great, just take it slow and like Frank said as well, listen to your body. That's rule #1. (There's only really one rule)