Atkin-Lehner |
2- 5+ 37+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
121360q |
Isogeny class |
Conductor |
121360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
507904 |
Modular degree for the optimal curve |
Δ |
89806400000000 = 212 · 58 · 372 · 41 |
Discriminant |
Eigenvalues |
2- -2 5+ -2 6 -6 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15376,569940] |
[a1,a2,a3,a4,a6] |
Generators |
[34:296:1] |
Generators of the group modulo torsion |
j |
98157190604689/21925390625 |
j-invariant |
L |
3.3475335259572 |
L(r)(E,1)/r! |
Ω |
0.56915732399059 |
Real period |
R |
1.4703902636349 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999261194 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7585a1 |
Quadratic twists by: -4 |