Atkin-Lehner |
2- 3- 5+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
27090bl |
Isogeny class |
Conductor |
27090 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
34239350073600 = 28 · 310 · 52 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-14828,639087] |
[a1,a2,a3,a4,a6] |
Generators |
[-55:1161:1] |
Generators of the group modulo torsion |
j |
494557118488441/46967558400 |
j-invariant |
L |
8.7134882274081 |
L(r)(E,1)/r! |
Ω |
0.63642107650179 |
Real period |
R |
0.85571178315851 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
9030g2 |
Quadratic twists by: -3 |