Atkin-Lehner |
2+ 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
7176c |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
222975808122414672 = 24 · 34 · 133 · 238 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -4 0 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-152599,3260020] |
[a1,a2,a3,a4,a6] |
Generators |
[12:1196:1] |
Generators of the group modulo torsion |
j |
24561881874548119552/13935988007650917 |
j-invariant |
L |
2.4707274487409 |
L(r)(E,1)/r! |
Ω |
0.27062247287073 |
Real period |
R |
1.5216323454416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14352n1 57408bk1 21528m1 93288bc1 |
Quadratic twists by: -4 8 -3 13 |