Atkin-Lehner |
2+ 3- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79560s |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
480 |
Product of Tamagawa factors cp |
deg |
4055040 |
Modular degree for the optimal curve |
Δ |
2.3520162551388E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13- 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27802758,56425604393] |
[a1,a2,a3,a4,a6] |
Generators |
[-5956:103615:1] [22562:169065:8] |
Generators of the group modulo torsion |
j |
203769809659907949070336/2016474841511325 |
j-invariant |
L |
9.5259497340001 |
L(r)(E,1)/r! |
Ω |
0.19286359164137 |
Real period |
R |
0.41160134878547 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998493 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520r1 |
Quadratic twists by: -3 |