Atkin-Lehner |
2- 7+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
16744g |
Isogeny class |
Conductor |
16744 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8960 |
Modular degree for the optimal curve |
Δ |
6965504 = 28 · 7 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9071,332530] |
[a1,a2,a3,a4,a6] |
j |
322440248841552/27209 |
j-invariant |
L |
0.90298842352899 |
L(r)(E,1)/r! |
Ω |
1.805976847058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
33488f1 117208r1 |
Quadratic twists by: -4 -7 |