Atkin-Lehner |
2+ 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
13104r |
Isogeny class |
Conductor |
13104 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7096320 |
Modular degree for the optimal curve |
Δ |
-2.5490247708077E+24 |
Discriminant |
Eigenvalues |
2+ 3- 3 7+ 6 13+ 8 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-997915476,12133817347948] |
[a1,a2,a3,a4,a6] |
j |
-588894491652244161881463808/13658611812026920011 |
j-invariant |
L |
3.757680138072 |
L(r)(E,1)/r! |
Ω |
0.075153602761441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6552y1 52416fq1 4368h1 91728ca1 |
Quadratic twists by: -4 8 -3 -7 |