Worth listening to not for the drama but for the lack thereof. Note how many different people are involved in the transmissions; not until air-traffic control requests a police chopper near the end is there so much as a note of panic among them.
Full transcript here. Sullenberger first reports the bird strike at 2027:36; at 2028:11, he first mentions the possibility of landing in the Hudson. Total time elapsed between the onset of a catastrophic problem, assessment of available options, and tentative solution: 35 seconds.