Atkin-Lehner |
2- 3- 19- 79- |
Signs for the Atkin-Lehner involutions |
Class |
54036k |
Isogeny class |
Conductor |
54036 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
Δ |
33216660631296 = 28 · 36 · 192 · 793 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 0 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2238951,1289481118] |
[a1,a2,a3,a4,a6] |
Generators |
[1810614:4413434:2197] |
Generators of the group modulo torsion |
j |
6651046522275792208/177987079 |
j-invariant |
L |
8.2330824299818 |
L(r)(E,1)/r! |
Ω |
0.47819164513309 |
Real period |
R |
8.6085594695969 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999996 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
6004c2 |
Quadratic twists by: -3 |