question on using p-adic methods for elliptic curves

Hello:

I have a genuinely large congruent number elliptic curve

Let d = 43735527276226882329090 = 
2.3.5.11.13.17.37.41.59.89.151.179.739.3769
then

(1) E(d) = y^2 = x^3 - d^2*x = [0,0,0,-d^2,0]

Five independent points of the Mordell-Weil basis for E are known.

Is there anyway to possibly find the height of the 6th point using 
p-adic methods?

Computing the 3rd derivative of the L-series is out of question here as 
10^22 terms or so are required.

I investigated trying to use the Chowla-Selberg Period ratio, but it 
looks like I have to know the 6th point again.

Is there any way out of this chicken-egg conundrum?

My goal was to find a good estimate (10% or so) of the point height 
(which in turn would provide a regulator size (neglecting SHA) for the 
curve)

Randall