Atkin-Lehner |
2- 3+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680cf |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-4012451309813760000 = -1 · 227 · 33 · 54 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 11- 4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,391188,20482384] |
[a1,a2,a3,a4,a6] |
j |
935355271080573/566899520000 |
j-invariant |
L |
3.6475463355674 |
L(r)(E,1)/r! |
Ω |
0.15198109731519 |
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 |
31680e2 7920u2 31680cb4 |
Quadratic twists by: -4 8 -3 |