Atkin-Lehner |
7- 23+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
12719b |
Isogeny class |
Conductor |
12719 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3216 |
Modular degree for the optimal curve |
Δ |
-23110423 = -1 · 7 · 232 · 792 |
Discriminant |
Eigenvalues |
1 2 0 7- 0 2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-605,-5992] |
[a1,a2,a3,a4,a6] |
Generators |
[85963779818:369590967221:2126781656] |
Generators of the group modulo torsion |
j |
-24553362849625/23110423 |
j-invariant |
L |
8.0641933334441 |
L(r)(E,1)/r! |
Ω |
0.48118576916526 |
Real period |
R |
16.759002136396 |
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 |
114471v1 89033b1 |
Quadratic twists by: -3 -7 |