Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526p |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
179200 |
Modular degree for the optimal curve |
Δ |
-2052063802904435712 = -1 · 210 · 310 · 79 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,315853,9183089] |
[a1,a2,a3,a4,a6] |
j |
86356749052601/50852054016 |
j-invariant |
L |
3.1789054119394 |
L(r)(E,1)/r! |
Ω |
0.15894527059697 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68208cr1 25578o1 8526bc1 |
Quadratic twists by: -4 -3 -7 |