Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8092j |
Isogeny class |
Conductor |
8092 |
Conductor |
∏ cp |
7 |
Product of Tamagawa factors cp |
deg |
1028160 |
Modular degree for the optimal curve |
Δ |
1470678069819766528 = 28 · 77 · 178 |
Discriminant |
Eigenvalues |
2- 3 2 7- 0 4 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82061839,-286127745178] |
[a1,a2,a3,a4,a6] |
j |
34222845097047888/823543 |
j-invariant |
L |
5.6180068792989 |
L(r)(E,1)/r! |
Ω |
0.050160775708026 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32368u1 129472bt1 72828bd1 56644v1 |
Quadratic twists by: -4 8 -3 -7 |