Atkin-Lehner |
2- 3- 11- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
12144bk |
Isogeny class |
Conductor |
12144 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1522746458112 = 216 · 3 · 114 · 232 |
Discriminant |
Eigenvalues |
2- 3- 0 2 11- 2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3168,33396] |
[a1,a2,a3,a4,a6] |
j |
858729462625/371764272 |
j-invariant |
L |
3.0572952597834 |
L(r)(E,1)/r! |
Ω |
0.76432381494585 |
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 |
1518m2 48576bw2 36432br2 |
Quadratic twists by: -4 8 -3 |