Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82368fd |
Isogeny class |
Conductor |
82368 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
61060386816 = 212 · 36 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13- 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1764,-25920] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:45:1] |
Generators of the group modulo torsion |
j |
203297472/20449 |
j-invariant |
L |
6.8280624859418 |
L(r)(E,1)/r! |
Ω |
0.74144833623191 |
Real period |
R |
2.3022718331956 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007082 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82368ef2 41184z1 9152t2 |
Quadratic twists by: -4 8 -3 |