Atkin-Lehner |
2- 3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
76560bn |
Isogeny class |
Conductor |
76560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3059256262656000 = 220 · 3 · 53 · 11 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 11+ -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-90112280,329278748400] |
[a1,a2,a3,a4,a6] |
j |
19756759069024623752071321/746888736000 |
j-invariant |
L |
2.8923625773516 |
L(r)(E,1)/r! |
Ω |
0.24103021701868 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9570p3 |
Quadratic twists by: -4 |