Atkin-Lehner |
2- 5+ 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
65660b |
Isogeny class |
Conductor |
65660 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
23616 |
Modular degree for the optimal curve |
Δ |
5745250000 = 24 · 56 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 2 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-448,-147] |
[a1,a2,a3,a4,a6] |
j |
1811939328/1046875 |
j-invariant |
L |
1.1339322342931 |
L(r)(E,1)/r! |
Ω |
1.1339322419143 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65660g1 |
Quadratic twists by: -7 |