Atkin-Lehner |
2+ 7+ 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
35728d |
Isogeny class |
Conductor |
35728 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
9600 |
Modular degree for the optimal curve |
Δ |
523093648 = 24 · 7 · 115 · 29 |
Discriminant |
Eigenvalues |
2+ 1 2 7+ 11+ -3 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-232,727] |
[a1,a2,a3,a4,a6] |
j |
86683871488/32693353 |
j-invariant |
L |
1.5045711134184 |
L(r)(E,1)/r! |
Ω |
1.5045711134425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17864n1 |
Quadratic twists by: -4 |