Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136z |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8287765807104 = 214 · 36 · 74 · 172 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5571,-80190] |
[a1,a2,a3,a4,a6] |
Generators |
[-63:144:1] |
Generators of the group modulo torsion |
j |
6403769793/2775556 |
j-invariant |
L |
3.7222900143474 |
L(r)(E,1)/r! |
Ω |
0.57484693705714 |
Real period |
R |
1.6188178862895 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2142h2 68544dl2 1904c2 119952gl2 |
Quadratic twists by: -4 8 -3 -7 |