Atkin-Lehner |
2- 3- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
13872be |
Isogeny class |
Conductor |
13872 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-9.896963859412E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8367032,11932509044] |
[a1,a2,a3,a4,a6] |
Generators |
[-355726:15869568:343] |
Generators of the group modulo torsion |
j |
655215969476375/1001033261568 |
j-invariant |
L |
6.3446137473764 |
L(r)(E,1)/r! |
Ω |
0.072405195208412 |
Real period |
R |
5.4766561718344 |
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 |
1734b4 55488cd4 41616bx4 816e4 |
Quadratic twists by: -4 8 -3 17 |