Atkin-Lehner |
2- 3- 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992co |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
112 |
Product of Tamagawa factors cp |
Δ |
3.1902402087597E+19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 2 13- 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-803108,53502984] |
[a1,a2,a3,a4,a6] |
Generators |
[-905:6318:1] |
Generators of the group modulo torsion |
j |
223772206261779250000/124618758154677423 |
j-invariant |
L |
8.7482620706762 |
L(r)(E,1)/r! |
Ω |
0.18019198998692 |
Real period |
R |
1.7339168687926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001151 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20748e2 |
Quadratic twists by: -4 |