Atkin-Lehner |
2+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16450a |
Isogeny class |
Conductor |
16450 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-44627078193464200 = -1 · 23 · 52 · 715 · 47 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 0 4 -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,85435,3340085] |
[a1,a2,a3,a4,a6] |
Generators |
[7290843766655:254826397729898:71215348625] |
Generators of the group modulo torsion |
j |
2758565065689301055/1785083127738568 |
j-invariant |
L |
5.0685854732257 |
L(r)(E,1)/r! |
Ω |
0.2246633976881 |
Real period |
R |
22.560797732893 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16450t2 115150r2 |
Quadratic twists by: 5 -7 |