Atkin-Lehner |
2+ 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16182g |
Isogeny class |
Conductor |
16182 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
39627778231296 = 210 · 316 · 29 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -2 -6 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-213435,-37898523] |
[a1,a2,a3,a4,a6] |
Generators |
[-267:165:1] [-266:165:1] |
Generators of the group modulo torsion |
j |
1475007551187050161/54359092224 |
j-invariant |
L |
4.7481741518961 |
L(r)(E,1)/r! |
Ω |
0.22211813077363 |
Real period |
R |
5.3441992053492 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129456bs1 5394j1 |
Quadratic twists by: -4 -3 |