Atkin-Lehner |
3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
25857k |
Isogeny class |
Conductor |
25857 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
157248 |
Modular degree for the optimal curve |
Δ |
-272952472284531 = -1 · 39 · 138 · 17 |
Discriminant |
Eigenvalues |
2 3- -2 -4 -3 13+ 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-6591,-821129] |
[a1,a2,a3,a4,a6] |
j |
-53248/459 |
j-invariant |
L |
0.46493303540715 |
L(r)(E,1)/r! |
Ω |
0.2324665177037 |
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 |
8619g1 25857n1 |
Quadratic twists by: -3 13 |