Atkin-Lehner |
2- 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
4416v |
Isogeny class |
Conductor |
4416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1872101376 = 217 · 33 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 2 -2 -2 2 -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4577,120705] |
[a1,a2,a3,a4,a6] |
Generators |
[-53:460:1] |
Generators of the group modulo torsion |
j |
80919167474/14283 |
j-invariant |
L |
3.345173518491 |
L(r)(E,1)/r! |
Ω |
1.4364643081395 |
Real period |
R |
2.3287550547104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4416g2 1104e2 13248bg2 110400hu2 |
Quadratic twists by: -4 8 -3 5 |