Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27489r |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
1.400452297782E+21 |
Discriminant |
Eigenvalues |
-1 3- -2 7- 11+ 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6627104,-6315384321] |
[a1,a2,a3,a4,a6] |
Generators |
[-1259:6367:1] |
Generators of the group modulo torsion |
j |
273594167224805799793/11903648120953281 |
j-invariant |
L |
3.3329898408182 |
L(r)(E,1)/r! |
Ω |
0.094348482467646 |
Real period |
R |
3.5326374665975 |
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 |
82467bd2 3927d2 |
Quadratic twists by: -3 -7 |