Atkin-Lehner |
2- 3- 5- 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17160y |
Isogeny class |
Conductor |
17160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
130292997120 = 210 · 34 · 5 · 11 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11- 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1680,-20592] |
[a1,a2,a3,a4,a6] |
Generators |
[48:108:1] |
Generators of the group modulo torsion |
j |
512401135684/127239255 |
j-invariant |
L |
6.437079277975 |
L(r)(E,1)/r! |
Ω |
0.75923678105352 |
Real period |
R |
2.1195888550877 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34320d3 51480i3 85800g3 |
Quadratic twists by: -4 -3 5 |