Atkin-Lehner |
2- 3+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526q |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-10384668 = -1 · 22 · 32 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-134,-673] |
[a1,a2,a3,a4,a6] |
j |
-776151559/30276 |
j-invariant |
L |
2.7999109828655 |
L(r)(E,1)/r! |
Ω |
0.69997774571637 |
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 |
68208cu1 25578k1 8526bb1 |
Quadratic twists by: -4 -3 -7 |