Just when Jessica Sierra thought that facing eleven years in prison was the worst news of the week, the “American Idol” finalist learned that a major porn company has obtained a sex tape featuring Jess — and they’re preparing to distribute it.

Here’s one of the many titillating screen shots TMZ got from the hot tape, which show the wayward warbler in various sexual poses, in what looks like a cheap hotel room. (Note the ciggy in the bathtub.) Sources ...