Atkin-Lehner |
2- 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
12896g |
Isogeny class |
Conductor |
12896 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3712 |
Modular degree for the optimal curve |
Δ |
-6396416 = -1 · 29 · 13 · 312 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 6 13- -5 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-312,-2024] |
[a1,a2,a3,a4,a6] |
j |
-6581255624/12493 |
j-invariant |
L |
1.1355220331138 |
L(r)(E,1)/r! |
Ω |
0.56776101655691 |
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 |
12896a1 25792j1 116064j1 |
Quadratic twists by: -4 8 -3 |