Atkin-Lehner |
2- 3- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
27456cf |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
15360 |
Modular degree for the optimal curve |
Δ |
-4948230144 = -1 · 220 · 3 · 112 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 11- 13+ 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-417,4575] |
[a1,a2,a3,a4,a6] |
j |
-30664297/18876 |
j-invariant |
L |
2.5297942483578 |
L(r)(E,1)/r! |
Ω |
1.2648971241791 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456b1 6864n1 82368dt1 |
Quadratic twists by: -4 8 -3 |