Atkin-Lehner |
2- 7- 103- |
Signs for the Atkin-Lehner involutions |
Class |
80752n |
Isogeny class |
Conductor |
80752 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31104 |
Modular degree for the optimal curve |
Δ |
-10584326144 = -1 · 221 · 72 · 103 |
Discriminant |
Eigenvalues |
2- 1 -1 7- -1 2 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,544,-652] |
[a1,a2,a3,a4,a6] |
j |
88545359/52736 |
j-invariant |
L |
2.9971159167894 |
L(r)(E,1)/r! |
Ω |
0.74927898071049 |
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 |
10094h1 80752i1 |
Quadratic twists by: -4 -7 |