How to calculate electric-dipole transitions

Consider parity. Is the parity of the dipole operator odd? (It usually, is, it's often something like $ez$ where $e$ is the electron charge and $z$ is the location). Then the integral over all space is only non-zero if the product $langle text{state|operator|state}rangle$ is even. So, if the dipole operator is odd, and the $|text{state}rangle$ is odd, then what parity do you need $langle text{state}|$ to be?