Atkin-Lehner |
2+ 3+ 29- 43- |
Signs for the Atkin-Lehner involutions |
Class |
89784b |
Isogeny class |
Conductor |
89784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96000 |
Modular degree for the optimal curve |
Δ |
6283443456 = 28 · 39 · 29 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 2 -3 -2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6156,-185868] |
[a1,a2,a3,a4,a6] |
Generators |
[-366:27:8] |
Generators of the group modulo torsion |
j |
5120216064/1247 |
j-invariant |
L |
9.6210082813333 |
L(r)(E,1)/r! |
Ω |
0.53899067187378 |
Real period |
R |
2.231255749782 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999955882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
89784h1 |
Quadratic twists by: -3 |