Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
7120k |
Isogeny class |
Conductor |
7120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4992 |
Modular degree for the optimal curve |
Δ |
633680 = 24 · 5 · 892 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-13201,579414] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:1068:1] |
Generators of the group modulo torsion |
j |
15902196690141184/39605 |
j-invariant |
L |
2.6294379057041 |
L(r)(E,1)/r! |
Ω |
1.8939900090328 |
Real period |
R |
2.7766122241024 |
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 |
1780b1 28480br1 64080bc1 35600bd1 |
Quadratic twists by: -4 8 -3 5 |