For instant relief from period pains, put a small handheld vibrating massager directly over your lower abdomen. It's temporary, but it will provide relief until your NSAIDs (Nonsteroidal anti-inflammatory drugs) kick in.
I usually tuck the massager between my pants and underwear and sit indian style. If you don't have a massager, try creating vibration by running in place or shaking your bum really fast.