There is a lot of discussion about whether you should take aspirin when you are having menstrual pain. Aspirin naturally thins the blood and that can be bad for someone who is a heavy bleeder. I feel it is better to be more cautious, so not using aspirin is the better way to go.
There are a number of specialized medicines out there for people looking for relief, but I would fear the side effects of aspirin.
Aspirin is still a great medicine for people with heart issues. Of course, it should always be agreed upon by your doctor before you start an aspirin regiment.