Atkin-Lehner |
3- 5- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
27885x |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1033344 |
Modular degree for the optimal curve |
Δ |
-1.2680899321769E+19 |
Discriminant |
Eigenvalues |
1 3- 5- -4 11- 13- -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-4872443,-4143643567] |
[a1,a2,a3,a4,a6] |
Generators |
[71463:1011235:27] |
Generators of the group modulo torsion |
j |
-1206351073421677/1195803675 |
j-invariant |
L |
7.0127716378586 |
L(r)(E,1)/r! |
Ω |
0.050805071187617 |
Real period |
R |
7.6684948021573 |
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 |
83655m1 27885q1 |
Quadratic twists by: -3 13 |