Atkin-Lehner |
2- 3- 29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
16182s |
Isogeny class |
Conductor |
16182 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
52239087627264 = 210 · 310 · 29 · 313 |
Discriminant |
Eigenvalues |
2- 3- 1 0 -2 0 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9482,75593] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:571:1] |
Generators of the group modulo torsion |
j |
129316248370009/71658556416 |
j-invariant |
L |
7.6716039178055 |
L(r)(E,1)/r! |
Ω |
0.54770637915012 |
Real period |
R |
0.23344636864584 |
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 |
129456br1 5394f1 |
Quadratic twists by: -4 -3 |