Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3312a |
Isogeny class |
Conductor |
3312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
-12516498432 = -1 · 210 · 312 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-579,-7598] |
[a1,a2,a3,a4,a6] |
j |
-28756228/16767 |
j-invariant |
L |
1.8956815418818 |
L(r)(E,1)/r! |
Ω |
0.47392038547044 |
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 |
1656h1 13248bg1 1104e1 82800bi1 |
Quadratic twists by: -4 8 -3 5 |