Atkin-Lehner |
2- 3+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
18876d |
Isogeny class |
Conductor |
18876 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
229934445312 = 28 · 3 · 116 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -4 2 11- 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2460,41736] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:242:1] |
Generators of the group modulo torsion |
j |
3631696/507 |
j-invariant |
L |
3.0863234830194 |
L(r)(E,1)/r! |
Ω |
0.9540945066357 |
Real period |
R |
1.6174097332885 |
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 |
75504ct2 56628r2 156a2 |
Quadratic twists by: -4 -3 -11 |