Atkin-Lehner |
2+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
16562x |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3669120 |
Modular degree for the optimal curve |
Δ |
-1.4022403690653E+22 |
Discriminant |
Eigenvalues |
2+ 3 -4 7- 3 13- 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-4568524,-6824209456] |
[a1,a2,a3,a4,a6] |
Generators |
[172661179773301518:-3647186548967174513:60393161264904] |
Generators of the group modulo torsion |
j |
-24642171/32768 |
j-invariant |
L |
5.2356681551861 |
L(r)(E,1)/r! |
Ω |
0.049209132271885 |
Real period |
R |
26.599067660138 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16562y1 16562bw1 |
Quadratic twists by: -7 13 |