Atkin-Lehner |
3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27885q |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
79488 |
Modular degree for the optimal curve |
Δ |
-2627180673975 = -1 · 33 · 52 · 116 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-28831,-1888264] |
[a1,a2,a3,a4,a6] |
Generators |
[248:2372:1] |
Generators of the group modulo torsion |
j |
-1206351073421677/1195803675 |
j-invariant |
L |
4.2116174874674 |
L(r)(E,1)/r! |
Ω |
0.18318028922055 |
Real period |
R |
3.8319420222451 |
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 |
83655bj1 27885x1 |
Quadratic twists by: -3 13 |