Atkin-Lehner |
2- 3- 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054bg |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
992369217027672 = 23 · 32 · 117 · 294 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- -2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-513224,-141551640] |
[a1,a2,a3,a4,a6] |
Generators |
[1066:22336:1] |
Generators of the group modulo torsion |
j |
8438952173768857/560166552 |
j-invariant |
L |
8.3269811291892 |
L(r)(E,1)/r! |
Ω |
0.17837112059316 |
Real period |
R |
3.8902883594134 |
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 |
63162u4 1914e4 |
Quadratic twists by: -3 -11 |