Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872be |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-1.2147764462231E+20 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-996568,-654416620] |
[a1,a2,a3,a4,a6] |
Generators |
[1286:13872:1] |
Generators of the group modulo torsion |
j |
-1107111813625/1228691592 |
j-invariant |
L |
6.3446137473764 |
L(r)(E,1)/r! |
Ω |
0.072405195208412 |
Real period |
R |
1.8255520572781 |
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 |
1734b2 55488cd2 41616bx2 816e2 |
Quadratic twists by: -4 8 -3 17 |