Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602d |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-801944118832896 = -1 · 28 · 33 · 137 · 432 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 0 13+ 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-37521,-3127275] |
[a1,a2,a3,a4,a6] |
Generators |
[5868282:-142779517:9261] |
Generators of the group modulo torsion |
j |
-1210333063393/166143744 |
j-invariant |
L |
3.8538454567514 |
L(r)(E,1)/r! |
Ω |
0.17021509931735 |
Real period |
R |
11.320515842052 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3354e1 |
Quadratic twists by: 13 |