Atkin-Lehner |
2+ 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
112216b |
Isogeny class |
Conductor |
112216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-6410002352 = -1 · 24 · 136 · 83 |
Discriminant |
Eigenvalues |
2+ -1 0 -1 1 13+ -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-563,6616] |
[a1,a2,a3,a4,a6] |
Generators |
[35:169:1] |
Generators of the group modulo torsion |
j |
-256000/83 |
j-invariant |
L |
3.8851064942126 |
L(r)(E,1)/r! |
Ω |
1.2638095942202 |
Real period |
R |
0.76853082171924 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999975398 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
664c1 |
Quadratic twists by: 13 |