Atkin-Lehner |
2- 3- 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17622j |
Isogeny class |
Conductor |
17622 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1609812838656 = 28 · 38 · 112 · 892 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11+ 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12839,-553377] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:54:1] |
Generators of the group modulo torsion |
j |
321039202539817/2208248064 |
j-invariant |
L |
8.6314599491452 |
L(r)(E,1)/r! |
Ω |
0.44869312919326 |
Real period |
R |
2.4046111327425 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5874d2 |
Quadratic twists by: -3 |