Atkin-Lehner |
2+ 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
25792g |
Isogeny class |
Conductor |
25792 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9472 |
Modular degree for the optimal curve |
Δ |
-6602752 = -1 · 214 · 13 · 31 |
Discriminant |
Eigenvalues |
2+ 0 4 -2 -3 13+ 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-368,2720] |
[a1,a2,a3,a4,a6] |
j |
-336393216/403 |
j-invariant |
L |
2.3654045158444 |
L(r)(E,1)/r! |
Ω |
2.365404515844 |
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 |
25792u1 3224b1 |
Quadratic twists by: -4 8 |