Atkin-Lehner |
3+ 5+ 11+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
48675b |
Isogeny class |
Conductor |
48675 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.3483873072244E+19 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 2 11+ -2 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-4954963,-4230024844] |
[a1,a2,a3,a4,a6] |
Generators |
[-162780:-422857:125] |
Generators of the group modulo torsion |
j |
861043195690733334889/4062967876623645 |
j-invariant |
L |
3.141945923466 |
L(r)(E,1)/r! |
Ω |
0.10121917107989 |
Real period |
R |
7.7602540357473 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999849 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9735e2 |
Quadratic twists by: 5 |