Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544en |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2759229294627520512 = 221 · 38 · 74 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 0 6 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-391116,-49764976] |
[a1,a2,a3,a4,a6] |
j |
34623662831857/14438442312 |
j-invariant |
L |
1.5847972785625 |
L(r)(E,1)/r! |
Ω |
0.19809965783694 |
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 |
68544bf3 17136bl3 22848ci3 |
Quadratic twists by: -4 8 -3 |