Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
68544dy |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7253038743552 = -1 · 214 · 312 · 72 · 17 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,996,-129008] |
[a1,a2,a3,a4,a6] |
j |
9148592/607257 |
j-invariant |
L |
2.8405665042256 |
L(r)(E,1)/r! |
Ω |
0.35507081191121 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
68544ck2 17136be2 22848ck2 |
Quadratic twists by: -4 8 -3 |