Atkin-Lehner |
2- 7+ 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12628a |
Isogeny class |
Conductor |
12628 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
3744 |
Modular degree for the optimal curve |
Δ |
-97791232 = -1 · 28 · 7 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11+ -4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12,-472] |
[a1,a2,a3,a4,a6] |
Generators |
[11847:247868:27] |
Generators of the group modulo torsion |
j |
-810448/381997 |
j-invariant |
L |
7.0577069612668 |
L(r)(E,1)/r! |
Ω |
0.85118248962587 |
Real period |
R |
8.2916496136674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
50512n1 113652m1 88396d1 |
Quadratic twists by: -4 -3 -7 |