Atkin-Lehner |
2- 3- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
17136z |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
24440452227072 = 213 · 36 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-76131,-8081694] |
[a1,a2,a3,a4,a6] |
Generators |
[-161:46:1] |
Generators of the group modulo torsion |
j |
16342588257633/8185058 |
j-invariant |
L |
3.7222900143474 |
L(r)(E,1)/r! |
Ω |
0.28742346852857 |
Real period |
R |
3.2376357725791 |
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 |
2142h3 68544dl4 1904c3 119952gl4 |
Quadratic twists by: -4 8 -3 -7 |