Atkin-Lehner |
2- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
50960bt |
Isogeny class |
Conductor |
50960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
331776 |
Modular degree for the optimal curve |
Δ |
1037538737930240 = 214 · 5 · 78 · 133 |
Discriminant |
Eigenvalues |
2- -2 5- 7- 0 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-183080,30050740] |
[a1,a2,a3,a4,a6] |
j |
1408317602329/2153060 |
j-invariant |
L |
1.9675951394341 |
L(r)(E,1)/r! |
Ω |
0.49189878498432 |
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 |
6370h1 7280n1 |
Quadratic twists by: -4 -7 |