Atkin-Lehner |
2- 3- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
25584v |
Isogeny class |
Conductor |
25584 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
176731657595191296 = 216 · 311 · 135 · 41 |
Discriminant |
Eigenvalues |
2- 3- 3 2 3 13+ 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-145304,-6786156] |
[a1,a2,a3,a4,a6] |
j |
82832250843593497/43147377342576 |
j-invariant |
L |
5.6966959761628 |
L(r)(E,1)/r! |
Ω |
0.25894072618922 |
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 |
3198a1 102336bz1 76752bs1 |
Quadratic twists by: -4 8 -3 |