Atkin-Lehner |
2- 3- 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720dt |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.1967264E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 4 2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-975468,331373392] |
[a1,a2,a3,a4,a6] |
j |
1074299413481138/125244140625 |
j-invariant |
L |
3.4936255575359 |
L(r)(E,1)/r! |
Ω |
0.21835159735589 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720o3 13680t4 18240cs3 |
Quadratic twists by: -4 8 -3 |