Atkin-Lehner |
3- 5+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27885q |
Isogeny class |
Conductor |
27885 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
10658734515 = 36 · 5 · 113 · 133 |
Discriminant |
Eigenvalues |
-1 3- 5+ 4 11+ 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-461406,-120673359] |
[a1,a2,a3,a4,a6] |
Generators |
[15294:611265:8] |
Generators of the group modulo torsion |
j |
4944739615233026077/4851495 |
j-invariant |
L |
4.2116174874674 |
L(r)(E,1)/r! |
Ω |
0.18318028922055 |
Real period |
R |
7.6638840444901 |
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 |
83655bj2 27885x2 |
Quadratic twists by: -3 13 |