Atkin-Lehner |
2- 3- 29- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
31842bb |
Isogeny class |
Conductor |
31842 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
20633616 = 24 · 36 · 29 · 61 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -4 -2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-344,-2357] |
[a1,a2,a3,a4,a6] |
j |
6158676537/28304 |
j-invariant |
L |
2.2182409667965 |
L(r)(E,1)/r! |
Ω |
1.1091204833983 |
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 |
3538a1 |
Quadratic twists by: -3 |