Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
16560bg |
Isogeny class |
Conductor |
16560 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
468025344000000 = 221 · 33 · 56 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-133947,-18840214] |
[a1,a2,a3,a4,a6] |
j |
2403250125069123/4232000000 |
j-invariant |
L |
2.9949769918258 |
L(r)(E,1)/r! |
Ω |
0.24958141598548 |
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 |
2070m2 66240ds2 16560z4 82800cm2 |
Quadratic twists by: -4 8 -3 5 |