Atkin-Lehner |
7- 37- 53- |
Signs for the Atkin-Lehner involutions |
Class |
96089a |
Isogeny class |
Conductor |
96089 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
230709689 = 76 · 37 · 53 |
Discriminant |
Eigenvalues |
1 0 -2 7- 4 2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-2018,-34385] |
[a1,a2,a3,a4,a6] |
j |
7727161833/1961 |
j-invariant |
L |
2.8492189630719 |
L(r)(E,1)/r! |
Ω |
0.71230466835843 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1961a1 |
Quadratic twists by: -7 |