Atkin-Lehner |
2- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
43120x |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
32467359232000000 = 215 · 56 · 78 · 11 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ 11+ -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-17134336,27304855040] |
[a1,a2,a3,a4,a6] |
j |
23560326604350529/1375000 |
j-invariant |
L |
1.1131887439819 |
L(r)(E,1)/r! |
Ω |
0.27829718603326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5390u2 43120cl2 |
Quadratic twists by: -4 -7 |