Atkin-Lehner |
2+ 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20880x |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-88284816000000 = -1 · 210 · 38 · 56 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 -2 -2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9147,-563686] |
[a1,a2,a3,a4,a6] |
j |
-113378906596/118265625 |
j-invariant |
L |
2.812143467626 |
L(r)(E,1)/r! |
Ω |
0.23434528896883 |
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 |
10440ba2 83520ef2 6960a2 104400bj2 |
Quadratic twists by: -4 8 -3 5 |