Atkin-Lehner |
2- 3+ 29- 41- |
Signs for the Atkin-Lehner involutions |
Class |
42804d |
Isogeny class |
Conductor |
42804 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-10859032368 = -1 · 24 · 39 · 292 · 41 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,-4995] |
[a1,a2,a3,a4,a6] |
j |
442368/34481 |
j-invariant |
L |
0.60929918997784 |
L(r)(E,1)/r! |
Ω |
0.60929918990084 |
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 |
42804a1 |
Quadratic twists by: -3 |