Atkin-Lehner |
2- 5+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
33550p |
Isogeny class |
Conductor |
33550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
2537218750 = 2 · 56 · 113 · 61 |
Discriminant |
Eigenvalues |
2- -1 5+ -4 11+ 3 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-913,-10719] |
[a1,a2,a3,a4,a6] |
j |
5386984777/162382 |
j-invariant |
L |
1.7402445303099 |
L(r)(E,1)/r! |
Ω |
0.87012226516326 |
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 |
1342a1 |
Quadratic twists by: 5 |