Atkin-Lehner |
2- 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
82908x |
Isogeny class |
Conductor |
82908 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.0047583766343E+19 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1695351,-821882194] |
[a1,a2,a3,a4,a6] |
Generators |
[-854:1764:1] [-805:4606:1] |
Generators of the group modulo torsion |
j |
24544085702992/913074687 |
j-invariant |
L |
9.8653119170747 |
L(r)(E,1)/r! |
Ω |
0.13261043547669 |
Real period |
R |
6.1994316170389 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999997498 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27636k2 11844d2 |
Quadratic twists by: -3 -7 |