Atkin-Lehner |
2- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
16562bx |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-24693014528 = -1 · 215 · 73 · 133 |
Discriminant |
Eigenvalues |
2- -3 -4 7- -3 13- -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-552,9195] |
[a1,a2,a3,a4,a6] |
Generators |
[-29:27:1] [-19:121:1] |
Generators of the group modulo torsion |
j |
-24642171/32768 |
j-invariant |
L |
5.3020700589309 |
L(r)(E,1)/r! |
Ω |
1.0784262146677 |
Real period |
R |
0.081941474635569 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999988 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16562bw1 16562y1 |
Quadratic twists by: -7 13 |