Atkin-Lehner |
2- 3- 7+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
50778bf |
Isogeny class |
Conductor |
50778 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1290240 |
Modular degree for the optimal curve |
Δ |
1.9649145424335E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 13- -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-780035,-157377981] |
[a1,a2,a3,a4,a6] |
Generators |
[-693:7418:1] |
Generators of the group modulo torsion |
j |
72000901035134331625/26953560252859968 |
j-invariant |
L |
9.0149571949757 |
L(r)(E,1)/r! |
Ω |
0.16574462085748 |
Real period |
R |
4.5325539316247 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000019 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16926c1 |
Quadratic twists by: -3 |