Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680dh |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-5.9370437425002E+22 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ -6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2998092,-11892179824] |
[a1,a2,a3,a4,a6] |
j |
-15595206456730321/310672490129100 |
j-invariant |
L |
0.76667432644107 |
L(r)(E,1)/r! |
Ω |
0.047917145402268 |
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 |
31680bu5 7920bc6 10560bo6 |
Quadratic twists by: -4 8 -3 |