Why does InverseWeierstrassP function in Mathematica remain unevaluated for some values?

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I have some input parameters:

alpha[r]:= (650250000 r^3 (0.9989 - 0.449505 (1 - Tanh[(-1450 + r)/1160])))/22468879468420441

beta[r]:= (650250000 r^2 (1/1000 + 0.


                      
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