Atkin-Lehner |
3- 5+ 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
47685k |
Isogeny class |
Conductor |
47685 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
3481774932739125 = 3 · 53 · 113 · 178 |
Discriminant |
Eigenvalues |
0 3- 5+ -1 11+ 2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-160491,-24637285] |
[a1,a2,a3,a4,a6] |
Generators |
[-14025503970764:-23652066765073:61911146816] |
Generators of the group modulo torsion |
j |
65537081344/499125 |
j-invariant |
L |
5.1414820863466 |
L(r)(E,1)/r! |
Ω |
0.23863606284166 |
Real period |
R |
21.545285423846 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47685f2 |
Quadratic twists by: 17 |