Atkin-Lehner |
2- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
17600cl |
Isogeny class |
Conductor |
17600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
38720000000 = 212 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 2 5+ -4 11- 4 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1033,8937] |
[a1,a2,a3,a4,a6] |
Generators |
[-9:132:1] |
Generators of the group modulo torsion |
j |
1906624/605 |
j-invariant |
L |
6.3328506598756 |
L(r)(E,1)/r! |
Ω |
1.0644379406882 |
Real period |
R |
2.9747392580638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17600by2 8800t1 3520bb2 |
Quadratic twists by: -4 8 5 |