Atkin-Lehner |
2- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
17600br |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-1362944000000000 = -1 · 219 · 59 · 113 |
Discriminant |
Eigenvalues |
2- -1 5+ -1 11+ 2 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,14367,1643137] |
[a1,a2,a3,a4,a6] |
j |
80062991/332750 |
j-invariant |
L |
1.3748338396996 |
L(r)(E,1)/r! |
Ω |
0.3437084599249 |
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 |
17600n2 4400r2 3520bd2 |
Quadratic twists by: -4 8 5 |