Atkin-Lehner |
2- 13+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28652c |
Isogeny class |
Conductor |
28652 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
808509814736 = 24 · 136 · 192 · 29 |
Discriminant |
Eigenvalues |
2- 2 2 0 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2757,36050] |
[a1,a2,a3,a4,a6] |
Generators |
[-10759190:-78829518:274625] |
Generators of the group modulo torsion |
j |
144901053349888/50531863421 |
j-invariant |
L |
9.2060322863854 |
L(r)(E,1)/r! |
Ω |
0.82089478337983 |
Real period |
R |
11.214631244801 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114608i1 |
Quadratic twists by: -4 |