Atkin-Lehner |
2- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96832v |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
19456 |
Modular degree for the optimal curve |
Δ |
105353216 = 212 · 172 · 89 |
Discriminant |
Eigenvalues |
2- 0 2 2 -4 -4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-164,640] |
[a1,a2,a3,a4,a6] |
Generators |
[12:20:1] |
Generators of the group modulo torsion |
j |
119095488/25721 |
j-invariant |
L |
6.8971331245671 |
L(r)(E,1)/r! |
Ω |
1.7788970543314 |
Real period |
R |
1.938598165889 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868102 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96832w1 48416c1 |
Quadratic twists by: -4 8 |