Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680cb |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
32 |
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 |
2.6532752515017 |
L(r)(E,1)/r! |
Ω |
0.082914851609436 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31680c4 7920x4 31680cf2 |
Quadratic twists by: -4 8 -3 |