Atkin-Lehner |
2- 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456cd |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-20411449344 = -1 · 217 · 32 · 113 · 13 |
Discriminant |
Eigenvalues |
2- 3- 3 -3 11+ 13- -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,671,1823] |
[a1,a2,a3,a4,a6] |
j |
254527054/155727 |
j-invariant |
L |
2.9935890243087 |
L(r)(E,1)/r! |
Ω |
0.74839725607724 |
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 |
27456t1 6864e1 82368ff1 |
Quadratic twists by: -4 8 -3 |