Atkin-Lehner |
2- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32096f |
Isogeny class |
Conductor |
32096 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
82176 |
Modular degree for the optimal curve |
Δ |
3810086053952 = 26 · 173 · 594 |
Discriminant |
Eigenvalues |
2- -2 0 -4 -6 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3958,17880] |
[a1,a2,a3,a4,a6] |
Generators |
[-58:236:1] |
Generators of the group modulo torsion |
j |
107171875000000/59532594593 |
j-invariant |
L |
1.5012127798627 |
L(r)(E,1)/r! |
Ω |
0.68074579424028 |
Real period |
R |
1.102623617042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32096d1 64192bo1 |
Quadratic twists by: -4 8 |