Atkin-Lehner |
2+ 3- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
13248l |
Isogeny class |
Conductor |
13248 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3234991177728 = 223 · 36 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 2 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-98028,11813040] |
[a1,a2,a3,a4,a6] |
j |
545138290809/16928 |
j-invariant |
L |
2.9694539803838 |
L(r)(E,1)/r! |
Ω |
0.74236349509594 |
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 |
13248br2 414d2 1472d2 |
Quadratic twists by: -4 8 -3 |