Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720cl |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
7978176000000000000 = 218 · 38 · 512 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-712812,-187585616] |
[a1,a2,a3,a4,a6] |
j |
209595169258201/41748046875 |
j-invariant |
L |
3.9982784619956 |
L(r)(E,1)/r! |
Ω |
0.16659493589411 |
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 |
54720er3 855a3 18240bj4 |
Quadratic twists by: -4 8 -3 |