Atkin-Lehner |
2- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35776h |
Isogeny class |
Conductor |
35776 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-3095625728 = -1 · 215 · 133 · 43 |
Discriminant |
Eigenvalues |
2- -1 0 -3 -5 13- -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,2689] |
[a1,a2,a3,a4,a6] |
Generators |
[21:-104:1] |
Generators of the group modulo torsion |
j |
-125000/94471 |
j-invariant |
L |
2.475782841481 |
L(r)(E,1)/r! |
Ω |
1.1488911809841 |
Real period |
R |
0.17957770083444 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35776j1 17888b1 |
Quadratic twists by: -4 8 |