Atkin-Lehner |
3- 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
27489t |
Isogeny class |
Conductor |
27489 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63504 |
Modular degree for the optimal curve |
Δ |
-57524107132107 = -1 · 32 · 710 · 113 · 17 |
Discriminant |
Eigenvalues |
0 3- 2 7- 11- -6 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,6403,309173] |
[a1,a2,a3,a4,a6] |
j |
102760448/203643 |
j-invariant |
L |
2.5953593746756 |
L(r)(E,1)/r! |
Ω |
0.43255989577927 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82467u1 27489e1 |
Quadratic twists by: -3 -7 |