Atkin-Lehner |
2- 17- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
96832bb |
Isogeny class |
Conductor |
96832 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
159744 |
Modular degree for the optimal curve |
Δ |
10201562611712 = 218 · 173 · 892 |
Discriminant |
Eigenvalues |
2- 2 -2 -2 4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8449,259233] |
[a1,a2,a3,a4,a6] |
Generators |
[357:6528:1] |
Generators of the group modulo torsion |
j |
254478514753/38915873 |
j-invariant |
L |
8.1346482693269 |
L(r)(E,1)/r! |
Ω |
0.6932793805452 |
Real period |
R |
1.9555964745263 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999933506 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96832h1 24208h1 |
Quadratic twists by: -4 8 |