Atkin-Lehner |
2+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16562p |
Isogeny class |
Conductor |
16562 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-25300544239856704 = -1 · 26 · 712 · 134 |
Discriminant |
Eigenvalues |
2+ 2 3 7- -6 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,8109,-7644307] |
[a1,a2,a3,a4,a6] |
j |
17546087/7529536 |
j-invariant |
L |
2.827389392453 |
L(r)(E,1)/r! |
Ω |
0.17671183702831 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2366e2 16562bq2 |
Quadratic twists by: -7 13 |