Atkin-Lehner |
2- 59- |
Signs for the Atkin-Lehner involutions |
Class |
3776y |
Isogeny class |
Conductor |
3776 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7296 |
Modular degree for the optimal curve |
Δ |
-8108898254848 = -1 · 237 · 59 |
Discriminant |
Eigenvalues |
2- 2 -2 3 1 -3 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,3551,108993] |
[a1,a2,a3,a4,a6] |
Generators |
[1545:49152:125] |
Generators of the group modulo torsion |
j |
18884848247/30932992 |
j-invariant |
L |
4.5879682193012 |
L(r)(E,1)/r! |
Ω |
0.5037245509015 |
Real period |
R |
2.2770223384439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3776e1 944g1 33984bn1 94400cz1 |
Quadratic twists by: -4 8 -3 5 |