Atkin-Lehner |
2+ 3- 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
8526k |
Isogeny class |
Conductor |
8526 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
147840 |
Modular degree for the optimal curve |
Δ |
-1300230082012724352 = -1 · 27 · 311 · 711 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 1 5 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,53825,-54646126] |
[a1,a2,a3,a4,a6] |
j |
146588258764583/11051773342848 |
j-invariant |
L |
2.8460715142508 |
L(r)(E,1)/r! |
Ω |
0.1293668870114 |
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 |
68208bu1 25578bj1 1218a1 |
Quadratic twists by: -4 -3 -7 |