Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3312b |
Isogeny class |
Conductor |
3312 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3554067456 = 210 · 38 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1659,25850] |
[a1,a2,a3,a4,a6] |
j |
676449508/4761 |
j-invariant |
L |
2.8249875775606 |
L(r)(E,1)/r! |
Ω |
1.4124937887803 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
1656c2 13248bh2 1104a2 82800bq2 |
Quadratic twists by: -4 8 -3 5 |