Atkin-Lehner |
3+ 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16575a |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
38633994140625 = 34 · 510 · 132 · 172 |
Discriminant |
Eigenvalues |
1 3+ 5+ -4 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-24525,-1458000] |
[a1,a2,a3,a4,a6] |
Generators |
[-738:1755:8] |
Generators of the group modulo torsion |
j |
104413920565969/2472575625 |
j-invariant |
L |
3.5294858642572 |
L(r)(E,1)/r! |
Ω |
0.38205115567905 |
Real period |
R |
4.6191273233868 |
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 |
49725j2 3315e2 |
Quadratic twists by: -3 5 |