Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288bg |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-3161010438144 = -1 · 215 · 39 · 132 · 29 |
Discriminant |
Eigenvalues |
2- 3- 3 3 2 13+ -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3669,218] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-432:1] |
Generators of the group modulo torsion |
j |
1829276567/1058616 |
j-invariant |
L |
9.0264679233542 |
L(r)(E,1)/r! |
Ω |
0.4766132010738 |
Real period |
R |
0.59183657097554 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999868 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6786l1 18096t1 |
Quadratic twists by: -4 -3 |