Atkin-Lehner |
2- 23+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
122176be |
Isogeny class |
Conductor |
122176 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
466944 |
Modular degree for the optimal curve |
Δ |
-4955755692032 = -1 · 214 · 232 · 833 |
Discriminant |
Eigenvalues |
2- -1 4 1 5 2 -5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-70641,-7203887] |
[a1,a2,a3,a4,a6] |
Generators |
[39120:139357:125] |
Generators of the group modulo torsion |
j |
-2379471110274256/302475323 |
j-invariant |
L |
8.5209536017589 |
L(r)(E,1)/r! |
Ω |
0.14642037840829 |
Real period |
R |
4.8495945884919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999887892 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122176r1 30544b1 |
Quadratic twists by: -4 8 |