Atkin-Lehner |
3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16575f |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1950106254890625 = -1 · 32 · 56 · 138 · 17 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,5524,2119223] |
[a1,a2,a3,a4,a6] |
j |
1193377118543/124806800313 |
j-invariant |
L |
2.8664281518753 |
L(r)(E,1)/r! |
Ω |
0.35830351898441 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49725i3 663b4 |
Quadratic twists by: -3 5 |