Atkin-Lehner |
2+ 3+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456b |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
8771862528 = 219 · 32 · 11 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11+ 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-7457,-245343] |
[a1,a2,a3,a4,a6] |
Generators |
[601:14560:1] |
Generators of the group modulo torsion |
j |
174958262857/33462 |
j-invariant |
L |
6.0470829726128 |
L(r)(E,1)/r! |
Ω |
0.51375806203775 |
Real period |
R |
2.9425732749711 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456cf2 858c2 82368bx2 |
Quadratic twists by: -4 8 -3 |