How is quantum teleportation reconciled with Einstein's special theory of relativity?

Or, is it? Quantum teleportation, as I understand it, involves the transfer of information between particles enmeshed by quantum entanglement, at speeds vastly greater than the speed of light. Now, while Einstein's general theory of relativity is largely about how gravity affects light, Einstein's special theory of relativity is essentially based on the concept that nothing can ever go faster than light, because time itself stops at the speed of light. Now, I suppose, we could dispute what exactly time is, and whether time could stop, but, nevertheless, information could still be transferred by quantum entanglement. However, one could say that arguing that information could still be transferred while time was stopped, was something of a logical contradiction, that the whole idea of time is that it is a way of measuring the occurrence of events, so no events of any type could occur if time wasn't passing, in some sense, or other. So, any thoughts about this issue? It would seem to have some significance for theoretical physics, I would have thought, anyway.