Atkin-Lehner |
2- 3- 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
31680dd |
Isogeny class |
Conductor |
31680 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3284582400 = 214 · 36 · 52 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 0 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2172,38864] |
[a1,a2,a3,a4,a6] |
j |
94875856/275 |
j-invariant |
L |
2.8385174269925 |
L(r)(E,1)/r! |
Ω |
1.4192587134974 |
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 |
31680bp2 7920bb2 3520z2 |
Quadratic twists by: -4 8 -3 |