Atkin-Lehner |
3+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
56277b |
Isogeny class |
Conductor |
56277 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-3515225017239 = -1 · 39 · 136 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 2 4 -4 13+ -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1996,82918] |
[a1,a2,a3,a4,a6] |
j |
9261/37 |
j-invariant |
L |
2.2557758695763 |
L(r)(E,1)/r! |
Ω |
0.56394396735941 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56277a1 333b1 |
Quadratic twists by: -3 13 |