Atkin-Lehner |
2+ 5- 73- |
Signs for the Atkin-Lehner involutions |
Class |
116800bg |
Isogeny class |
Conductor |
116800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
46720000 = 210 · 54 · 73 |
Discriminant |
Eigenvalues |
2+ -1 5- 2 -6 -2 -6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-633,6337] |
[a1,a2,a3,a4,a6] |
Generators |
[16:7:1] |
Generators of the group modulo torsion |
j |
43897600/73 |
j-invariant |
L |
4.0965028070631 |
L(r)(E,1)/r! |
Ω |
2.0155417501402 |
Real period |
R |
2.0324574430055 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999397105 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
116800cw1 7300f1 116800d1 |
Quadratic twists by: -4 8 5 |