Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104s |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
32256 |
Modular degree for the optimal curve |
Δ |
-81972654656256 = -1 · 28 · 36 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -3 7+ 0 13+ 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9636,239164] |
[a1,a2,a3,a4,a6] |
j |
530208386048/439239619 |
j-invariant |
L |
0.78685964384882 |
L(r)(E,1)/r! |
Ω |
0.39342982192441 |
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 |
6552z1 52416fm1 1456c1 91728bs1 |
Quadratic twists by: -4 8 -3 -7 |