Atkin-Lehner |
2- 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
54720er |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
192 |
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] |
Generators |
[-848:13500:1] [-598:20000:1] |
Generators of the group modulo torsion |
j |
209595169258201/41748046875 |
j-invariant |
L |
9.1437116469103 |
L(r)(E,1)/r! |
Ω |
0.22138605806874 |
Real period |
R |
0.86046065549861 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
54720cl3 13680bg4 18240bt3 |
Quadratic twists by: -4 8 -3 |