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 |
Δ |
21324404736 = 211 · 39 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -2 -2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10299,-402230] |
[a1,a2,a3,a4,a6] |
j |
80919167474/14283 |
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 |
1656h2 13248bg2 1104e2 82800bi2 |
Quadratic twists by: -4 8 -3 5 |