Can we predict Dextrorotatory and levorotatory character of an organic molecule?
There is no simple set of rules that one can use to determine the absolute configuration from the specific rotation, or the other way around.

A quick web search did dig up this reference that deals with calculating the specific rotation for arbitrary molecules, but it requires some fairly sophisticated algorithms. In principle, you could reproduce their methods, but it would require a substantial time commitment unless you are familiar with the software they describe. (Which is Gaussian, if you're interested.)