Atkin-Lehner |
2+ 3- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
89784f |
Isogeny class |
Conductor |
89784 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-9.9761677827671E+19 |
Discriminant |
Eigenvalues |
2+ 3- 2 2 0 2 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6434499,-6300674930] |
[a1,a2,a3,a4,a6] |
Generators |
[7853267040455656231590452588410:-665756046560545195714167462957765:971986468687517003449496552] |
Generators of the group modulo torsion |
j |
-39467574763744230148/133639936218909 |
j-invariant |
L |
9.0687578232131 |
L(r)(E,1)/r! |
Ω |
0.047386303320067 |
Real period |
R |
47.844826419407 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999946952 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29928g2 |
Quadratic twists by: -3 |