Atkin-Lehner |
2- 3- 7+ 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
82992cf |
Isogeny class |
Conductor |
82992 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1058387240042496 = 214 · 32 · 76 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 13+ 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-31312,1438100] |
[a1,a2,a3,a4,a6] |
Generators |
[-97:1890:1] |
Generators of the group modulo torsion |
j |
828915115007953/258395322276 |
j-invariant |
L |
8.9743836611707 |
L(r)(E,1)/r! |
Ω |
0.45488207038741 |
Real period |
R |
4.9322584044879 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002556 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10374j2 |
Quadratic twists by: -4 |