Atkin-Lehner |
2- 3- 5+ 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
66780h |
Isogeny class |
Conductor |
66780 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-12116563200 = -1 · 28 · 36 · 52 · 72 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -3 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12423,-532978] |
[a1,a2,a3,a4,a6] |
j |
-1136150003536/64925 |
j-invariant |
L |
0.90442267196952 |
L(r)(E,1)/r! |
Ω |
0.22610566766696 |
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 |
7420d1 |
Quadratic twists by: -3 |