Atkin-Lehner |
2- 3+ 5+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720cs |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9095120640000000000 = 217 · 39 · 510 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 2 0 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1550988,729168912] |
[a1,a2,a3,a4,a6] |
j |
159936580505574/3525390625 |
j-invariant |
L |
0.92328033291703 |
L(r)(E,1)/r! |
Ω |
0.2308200833484 |
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 |
54720d2 13680e2 54720db2 |
Quadratic twists by: -4 8 -3 |