Atkin-Lehner |
2- 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526bc |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
400 |
Product of Tamagawa factors cp |
deg |
25600 |
Modular degree for the optimal curve |
Δ |
-17442254527488 = -1 · 210 · 310 · 73 · 292 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,6446,-25852] |
[a1,a2,a3,a4,a6] |
Generators |
[116:-1570:1] |
Generators of the group modulo torsion |
j |
86356749052601/50852054016 |
j-invariant |
L |
6.7932766401206 |
L(r)(E,1)/r! |
Ω |
0.40615534506444 |
Real period |
R |
0.16725808788858 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68208bx1 25578j1 8526p1 |
Quadratic twists by: -4 -3 -7 |