Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
8092g |
Isogeny class |
Conductor |
8092 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
14688 |
Modular degree for the optimal curve |
Δ |
12500557334272 = 28 · 7 · 178 |
Discriminant |
Eigenvalues |
2- 1 0 7- 6 -4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8188,226180] |
[a1,a2,a3,a4,a6] |
j |
34000/7 |
j-invariant |
L |
2.6934799748629 |
L(r)(E,1)/r! |
Ω |
0.67336999371572 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
32368p1 129472bm1 72828bb1 56644r1 |
Quadratic twists by: -4 8 -3 -7 |