Atkin-Lehner |
11- 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
8987c |
Isogeny class |
Conductor |
8987 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
7342379 = 11 · 192 · 432 |
Discriminant |
Eigenvalues |
-1 0 -2 -4 11- -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-76,236] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:23:1] |
Generators of the group modulo torsion |
j |
47950837137/7342379 |
j-invariant |
L |
1.2793701105913 |
L(r)(E,1)/r! |
Ω |
2.2531483729231 |
Real period |
R |
0.56781440848101 |
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 |
80883h2 98857d2 |
Quadratic twists by: -3 -11 |