I've had lower back pain for all of my adult life and, curiously, cycling seems to be one of the few things that don't make it hurt.
A few bits of advice:
1) Stretch, apparently.
2) Strengthen your back and abdominal muscles with exercises (to be found in many places on the web).
3) As your pain is fairly recent I'd get it seen to ASAP. I wish I'd pushed doctors into taking more notice of my pain rather than letting them send me away with a leaflet. Seriously, if it doesn't sort itself soon, get it sorted with medical help.
Good luck!