Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136a |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
198012923136 = 28 · 33 · 73 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5199,-142690] |
[a1,a2,a3,a4,a6] |
j |
2248430329584/28647703 |
j-invariant |
L |
3.376024326376 |
L(r)(E,1)/r! |
Ω |
0.56267072106267 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8568a2 68544dd2 17136b2 119952l2 |
Quadratic twists by: -4 8 -3 -7 |