Atkin-Lehner |
2- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96832w |
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 |
[22:80:1] |
Generators of the group modulo torsion |
j |
119095488/25721 |
j-invariant |
L |
6.3113280596135 |
L(r)(E,1)/r! |
Ω |
1.3545554192013 |
Real period |
R |
2.3296677122692 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016523 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96832v1 48416d1 |
Quadratic twists by: -4 8 |