Atkin-Lehner |
2- 5+ 11+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
7810b |
Isogeny class |
Conductor |
7810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-2147750000 = -1 · 24 · 56 · 112 · 71 |
Discriminant |
Eigenvalues |
2- 0 5+ -2 11+ -4 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,12,-2233] |
[a1,a2,a3,a4,a6] |
Generators |
[31:149:1] |
Generators of the group modulo torsion |
j |
206425071/2147750000 |
j-invariant |
L |
5.3082286254042 |
L(r)(E,1)/r! |
Ω |
0.67689809917038 |
Real period |
R |
1.9604976849211 |
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 |
62480j1 70290i1 39050c1 85910a1 |
Quadratic twists by: -4 -3 5 -11 |