Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
87856k |
Isogeny class |
Conductor |
87856 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
391960332597813248 = 213 · 178 · 193 |
Discriminant |
Eigenvalues |
2- -2 0 2 0 2 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-338305808,2394924605332] |
[a1,a2,a3,a4,a6] |
j |
43311038625059640625/3964502 |
j-invariant |
L |
1.3456205036393 |
L(r)(E,1)/r! |
Ω |
0.16820257635588 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10982g4 5168j4 |
Quadratic twists by: -4 17 |