Atkin-Lehner |
2- 3- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
68544ek |
Isogeny class |
Conductor |
68544 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
592094564791123968 = 215 · 312 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-209964,-839792] |
[a1,a2,a3,a4,a6] |
j |
42852953779784/24786408969 |
j-invariant |
L |
2.9311055526307 |
L(r)(E,1)/r! |
Ω |
0.24425879656961 |
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 |
68544dm2 34272bj2 22848cx2 |
Quadratic twists by: -4 8 -3 |