Or to give it its full title, the Jaguar XJ 5.3 C V12. Nearly 10,000 were built in total between 1975 and 1978, but only 1,800 of them came with the V12 engine. The 1978 model in this video is one of those.
Your host is Harry Metcalfe, founder of EVO magazine, and more recently seen positioning himself as Britain's answer to Jay Leno.
Pillarless!