Atkin-Lehner |
2- 3- 61- |
Signs for the Atkin-Lehner involutions |
Class |
35136cm |
Isogeny class |
Conductor |
35136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13312 |
Modular degree for the optimal curve |
Δ |
520820928 = 26 · 37 · 612 |
Discriminant |
Eigenvalues |
2- 3- 2 2 -4 -2 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,-592] |
[a1,a2,a3,a4,a6] |
j |
24897088/11163 |
j-invariant |
L |
1.2941208643546 |
L(r)(E,1)/r! |
Ω |
1.2941208643555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35136co1 17568h2 11712ba1 |
Quadratic twists by: -4 8 -3 |