Atkin-Lehner |
3- 5+ 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
16575f |
Isogeny class |
Conductor |
16575 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
10446632015625 = 34 · 56 · 134 · 172 |
Discriminant |
Eigenvalues |
1 3- 5+ 0 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-13601,589223] |
[a1,a2,a3,a4,a6] |
j |
17806161424897/668584449 |
j-invariant |
L |
2.8664281518753 |
L(r)(E,1)/r! |
Ω |
0.71660703796883 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
49725i2 663b2 |
Quadratic twists by: -3 5 |