Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720cl |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
87313158144000000 = 218 · 310 · 56 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-220332,37182256] |
[a1,a2,a3,a4,a6] |
j |
6189976379881/456890625 |
j-invariant |
L |
3.9982784619956 |
L(r)(E,1)/r! |
Ω |
0.33318987178822 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54720er2 855a2 18240bj2 |
Quadratic twists by: -4 8 -3 |