Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550q |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
33641562500 = 22 · 57 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-5838,169031] |
[a1,a2,a3,a4,a6] |
j |
1408317602329/2153060 |
j-invariant |
L |
4.6561799314832 |
L(r)(E,1)/r! |
Ω |
1.1640449828708 |
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 |
36400by1 40950q1 910c1 31850cb1 |
Quadratic twists by: -4 -3 5 -7 |