I want to say leave a modern computer or some other piece of technology at some point in time (maybe 50's) but I'm not sure if it could be reversed engineered
Even if it had infinite power and was unbreakable, it would end up being fought over and coveted as holy relic, instead of being played with and studied
Hardly. The miniaturization required to make modern chips is ages ahead of anything possible in the 50s or 60s. Hell, them even getting some x-ray microscope to see the stupidly small transistors we have today would be a challenge in itself!