Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
31680ca |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-1.0392624E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 11- 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,496788,-76766416] |
[a1,a2,a3,a4,a6] |
j |
283811208976796/217529296875 |
j-invariant |
L |
3.0595738064448 |
L(r)(E,1)/r! |
Ω |
0.12748224193531 |
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 |
31680dq3 3960c4 10560d4 |
Quadratic twists by: -4 8 -3 |