Atkin-Lehner |
2- 3- 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456bv |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
10995300827136 = 224 · 36 · 29 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 0 2 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31251,2120402] |
[a1,a2,a3,a4,a6] |
j |
1130389181713/3682304 |
j-invariant |
L |
2.8881814348046 |
L(r)(E,1)/r! |
Ω |
0.72204539320863 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16182h1 14384d1 |
Quadratic twists by: -4 -3 |