Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7176p |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
8912592 = 24 · 34 · 13 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 2 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-343,2330] |
[a1,a2,a3,a4,a6] |
Generators |
[-13:69:1] |
Generators of the group modulo torsion |
j |
279738112000/557037 |
j-invariant |
L |
4.7704181725515 |
L(r)(E,1)/r! |
Ω |
2.317128987116 |
Real period |
R |
0.51469061488123 |
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 |
14352d1 57408m1 21528e1 93288p1 |
Quadratic twists by: -4 8 -3 13 |