Atkin-Lehner |
2- 5+ 23+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
54050g |
Isogeny class |
Conductor |
54050 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
794880 |
Modular degree for the optimal curve |
Δ |
2032280000000000 = 212 · 510 · 23 · 472 |
Discriminant |
Eigenvalues |
2- 0 5+ 1 3 1 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2691055,-1698476553] |
[a1,a2,a3,a4,a6] |
j |
220694362473580425/208105472 |
j-invariant |
L |
2.8289820405359 |
L(r)(E,1)/r! |
Ω |
0.11787425159985 |
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 |
54050f1 |
Quadratic twists by: 5 |