Atkin-Lehner |
2- 3- 5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
120060n |
Isogeny class |
Conductor |
120060 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
3317760 |
Modular degree for the optimal curve |
Δ |
-9.3289794874144E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 -3 -3 1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1111017,647393249] |
[a1,a2,a3,a4,a6] |
Generators |
[-467:-32625:1] [533:-14375:1] |
Generators of the group modulo torsion |
j |
-13002842854724664064/7998096268359375 |
j-invariant |
L |
11.349543179094 |
L(r)(E,1)/r! |
Ω |
0.17611002663116 |
Real period |
R |
0.11188498695314 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999935629 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40020a1 |
Quadratic twists by: -3 |