Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562m |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-263341415464485176 = -1 · 23 · 79 · 138 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 0 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-513594,143591596] |
[a1,a2,a3,a4,a6] |
j |
-156116857/2744 |
j-invariant |
L |
0.62162217151954 |
L(r)(E,1)/r! |
Ω |
0.31081108575977 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366d2 16562bk2 |
Quadratic twists by: -7 13 |