Most law schools want to have a couple kids every year that will go on the lucrative IP track. Those kids need to be engineers/physicists/Biochem/other technical. With the exception that a lower GPA in those subjects MAY be accepted, the schools don't really seem to care what your major is at all. If anything, there is a general trend toward accepting diverse majors.
Anyway, this question is generally annoying and comes up repeatedly throughout the application cycle.
Technical degrees are hard because they are graded by examination, lend themselves to the curve and engineering/science professors tend to make difficult exams. Everything else is pretty much equal. Even your econ/finance degree.
The best major-selection advice: Pick a major that you enjoy, because you are more-likely to do well in those classes, and maybe end up as a reasonably well-adjusted person in the process.