Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456bc |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1381905727488 = -1 · 230 · 32 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 11+ 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,351,-56385] |
[a1,a2,a3,a4,a6] |
Generators |
[7140:75285:64] |
Generators of the group modulo torsion |
j |
18191447/5271552 |
j-invariant |
L |
5.7397637602362 |
L(r)(E,1)/r! |
Ω |
0.40156987508078 |
Real period |
R |
7.1466563061803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27456bw1 858a1 82368ch1 |
Quadratic twists by: -4 8 -3 |