Atkin-Lehner |
2- 3- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48804q |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
43200 |
Modular degree for the optimal curve |
Δ |
-61478984448 = -1 · 28 · 310 · 72 · 83 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -5 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-989,16575] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:27:1] [-11:162:1] |
Generators of the group modulo torsion |
j |
-8537202688/4901067 |
j-invariant |
L |
9.8716120743173 |
L(r)(E,1)/r! |
Ω |
1.0277054605232 |
Real period |
R |
0.32018292054527 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999986 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
48804a1 |
Quadratic twists by: -7 |