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Shear center of L-shape beam

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I have a question on how to calculate eccentricity for torsion.
Let's take an example.
Here is a precast L-shape beam with web 10"(W)x24"(H) and 10"(w)x10"(h) ledge,
 of which area is 340 sq in.
Personally, I used the center line of the web, 5" in this case, to calculate torsion.
I heard tihs approach is conservative.
I know some engineers use the center of mass, 7.94".
Which method is more realistic?
Where is the exact location of shear center in this case to calculate eccentricity?
If anybody knows  formula, please send me.

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