Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8092c |
Isogeny class |
Conductor |
8092 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
540 |
Modular degree for the optimal curve |
Δ |
-32368 = -1 · 24 · 7 · 172 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ 0 4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6,5] |
[a1,a2,a3,a4,a6] |
j |
4352/7 |
j-invariant |
L |
2.5212395679105 |
L(r)(E,1)/r! |
Ω |
2.5212395679105 |
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 |
32368be1 129472m1 72828p1 56644l1 |
Quadratic twists by: -4 8 -3 -7 |