Atkin-Lehner |
2- 3+ 5+ 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
48450bf |
Isogeny class |
Conductor |
48450 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
4128768 |
Modular degree for the optimal curve |
Δ |
-9.652666368E+22 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 0 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-8301338,-17558842969] |
[a1,a2,a3,a4,a6] |
Generators |
[3701:47435:1] |
Generators of the group modulo torsion |
j |
-4049001901026200674009/6177706475520000000 |
j-invariant |
L |
7.9232408690265 |
L(r)(E,1)/r! |
Ω |
0.042192830273963 |
Real period |
R |
5.8683258636401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9690i1 |
Quadratic twists by: 5 |