Atkin-Lehner |
3+ 11+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12441b |
Isogeny class |
Conductor |
12441 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
122917026466377 = 32 · 118 · 133 · 29 |
Discriminant |
Eigenvalues |
1 3+ -2 4 11+ 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-16826,642039] |
[a1,a2,a3,a4,a6] |
Generators |
[2:779:1] |
Generators of the group modulo torsion |
j |
526873911576930217/122917026466377 |
j-invariant |
L |
4.3747406953515 |
L(r)(E,1)/r! |
Ω |
0.55328319969756 |
Real period |
R |
2.6356247564495 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37323k1 |
Quadratic twists by: -3 |