Atkin-Lehner |
2- 3- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960cx |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
6995716067410560000 = 210 · 38 · 54 · 78 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-495896,-43437696] |
[a1,a2,a3,a4,a6] |
j |
111945903743524/58068950625 |
j-invariant |
L |
3.0463555818741 |
L(r)(E,1)/r! |
Ω |
0.19039721763765 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14280bh2 |
Quadratic twists by: -7 |