Atkin-Lehner |
2- 3- 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
123192m |
Isogeny class |
Conductor |
123192 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
3334592593152 = 28 · 37 · 29 · 593 |
Discriminant |
Eigenvalues |
2- 3- 0 1 -4 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4260,61108] |
[a1,a2,a3,a4,a6] |
Generators |
[116:-1062:1] |
Generators of the group modulo torsion |
j |
45812608000/17867973 |
j-invariant |
L |
6.8362252724471 |
L(r)(E,1)/r! |
Ω |
0.72302907985904 |
Real period |
R |
0.39395748700788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012302 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
41064c1 |
Quadratic twists by: -3 |