Superb photo of a beautiful flower. I'm not so sure it is the right name though. Definitely in the right geneus, give or take a lump or two. The common form in cultivation, that Desert Tropicals shows, is the spineless form, but the species does grow spines. Do you have a body shot?

Here is a wider shot of the plant.

Here is a link that might be useful:

It's a beauty, whatever its real name. Thanks for the pictures.