Atkin-Lehner |
2+ 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
32320b |
Isogeny class |
Conductor |
32320 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
835665920 = 214 · 5 · 1012 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 0 -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-241,-465] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:19:1] |
Generators of the group modulo torsion |
j |
94875856/51005 |
j-invariant |
L |
3.8463035078347 |
L(r)(E,1)/r! |
Ω |
1.2893089572572 |
Real period |
R |
2.983228718132 |
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 |
32320m2 4040d2 |
Quadratic twists by: -4 8 |