Atkin-Lehner |
2- 5+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
88400bu |
Isogeny class |
Conductor |
88400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
384716800 = 212 · 52 · 13 · 172 |
Discriminant |
Eigenvalues |
2- 3 5+ 0 0 13- 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-640,-6160] |
[a1,a2,a3,a4,a6] |
j |
283115520/3757 |
j-invariant |
L |
7.599644637545 |
L(r)(E,1)/r! |
Ω |
0.94995557009161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5525g1 88400bw1 |
Quadratic twists by: -4 5 |