Atkin-Lehner |
2+ 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680c |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-2.9250770048542E+21 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 11- 4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3520692,553024368] |
[a1,a2,a3,a4,a6] |
j |
935355271080573/566899520000 |
j-invariant |
L |
2.1059118587208 |
L(r)(E,1)/r! |
Ω |
0.087746327446658 |
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 |
31680cb4 990b4 31680e2 |
Quadratic twists by: -4 8 -3 |