By Devan Coggan
Updated March 30, 2016 at 03:32 PM EDT

President Barack Obama has hosted his fair share of musicians at the White House, whether he’s inviting Kendrick Lamar to the Oval Office or helping Lin-Manuel Miranda freestyle in the Rose Garden. But perhaps the weirdest meeting between politics and pop culture occurred in 1970, when Elvis Presley showed up at the White House gates and asked to see Richard Nixon.

The unlikely pair did meet, resulting in a bizarre image of the president shaking hands with the rock ‘n roll icon — an image that is now the single most-requested photo in the National Archives. And now, a new film from Hateship Loveship director Liza Johnson chronicles that legendary meeting, with Michael Shannon and Kevin Spacey stepping in as Elvis and Nixon.

In this new featurette, the stars and producers of Elvis & Nixon discuss the storied meeting, as well as a few surprise similarities between the 37th president and the acclaimed singer.

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“They began to realize that they were far more aligned than they could’ve imagined,” Spacey says. “That’s half the fun, too, watching how that develops.”

Joey Sagal, Hanala Sagal, and Cary Elwes penned the script. Amazon Studios and Bleecker Street will release Elvis & Nixon in theaters on April 22.