Atkin-Lehner |
2- 3- 5+ 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
42570t |
Isogeny class |
Conductor |
42570 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
162432 |
Modular degree for the optimal curve |
Δ |
-19434217144320 = -1 · 218 · 36 · 5 · 11 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 11+ 2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66038,-6518779] |
[a1,a2,a3,a4,a6] |
j |
-43688964783576601/26658734080 |
j-invariant |
L |
2.6802679044898 |
L(r)(E,1)/r! |
Ω |
0.14890377247254 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4730c1 |
Quadratic twists by: -3 |