Atkin-Lehner |
13- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
15041h |
Isogeny class |
Conductor |
15041 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6288 |
Modular degree for the optimal curve |
Δ |
1548816893 = 133 · 893 |
Discriminant |
Eigenvalues |
0 2 0 -3 0 13- 3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1993,-33538] |
[a1,a2,a3,a4,a6] |
j |
398688256000/704969 |
j-invariant |
L |
1.4291594831584 |
L(r)(E,1)/r! |
Ω |
0.71457974157919 |
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 |
15041i1 |
Quadratic twists by: 13 |