Atkin-Lehner |
2- 3- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
12006t |
Isogeny class |
Conductor |
12006 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3840 |
Modular degree for the optimal curve |
Δ |
-178937424 = -1 · 24 · 36 · 232 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 0 3 1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-68,695] |
[a1,a2,a3,a4,a6] |
Generators |
[7:19:1] |
Generators of the group modulo torsion |
j |
-47045881/245456 |
j-invariant |
L |
6.8165077641256 |
L(r)(E,1)/r! |
Ω |
1.5614262943326 |
Real period |
R |
0.54569560766868 |
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 |
96048bb1 1334a1 |
Quadratic twists by: -4 -3 |