Atkin-Lehner |
2+ 3- 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
91200cn |
Isogeny class |
Conductor |
91200 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
4210704000000000000 = 216 · 36 · 512 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-657633,-180187137] |
[a1,a2,a3,a4,a6] |
j |
30716746229956/4112015625 |
j-invariant |
L |
2.0296128763537 |
L(r)(E,1)/r! |
Ω |
0.16913442003543 |
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 |
91200fr2 11400y2 18240m2 |
Quadratic twists by: -4 8 5 |