Atkin-Lehner |
2- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
27104w |
Isogeny class |
Conductor |
27104 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-2938507264 = -1 · 212 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 2 -1 7- 11- -5 -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-161,-2671] |
[a1,a2,a3,a4,a6] |
j |
-7744/49 |
j-invariant |
L |
2.3900798813865 |
L(r)(E,1)/r! |
Ω |
0.59751997034665 |
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 |
27104f1 54208bm1 27104e1 |
Quadratic twists by: -4 8 -11 |