Atkin-Lehner |
2- 3- 5+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
53280bn |
Isogeny class |
Conductor |
53280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
46562734656000 = 29 · 312 · 53 · 372 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 2 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9003,-17998] |
[a1,a2,a3,a4,a6] |
Generators |
[56014:580770:343] |
Generators of the group modulo torsion |
j |
216216072008/124750125 |
j-invariant |
L |
6.9153960358449 |
L(r)(E,1)/r! |
Ω |
0.53458400399817 |
Real period |
R |
6.4680162369907 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000078 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53280bo2 106560gm2 17760h2 |
Quadratic twists by: -4 8 -3 |