Atkin-Lehner |
2+ 3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
116130bk |
Isogeny class |
Conductor |
116130 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
494592 |
Modular degree for the optimal curve |
Δ |
-47217870846720 = -1 · 28 · 34 · 5 · 78 · 79 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 5 2 -1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-908,330698] |
[a1,a2,a3,a4,a6] |
j |
-14338681/8190720 |
j-invariant |
L |
4.12565902987 |
L(r)(E,1)/r! |
Ω |
0.51570738951267 |
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 |
116130m1 |
Quadratic twists by: -7 |