Atkin-Lehner |
3- 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
116487l |
Isogeny class |
Conductor |
116487 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
28306341 = 37 · 7 · 432 |
Discriminant |
Eigenvalues |
0 3- 3 7- 6 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-516,4504] |
[a1,a2,a3,a4,a6] |
j |
11272192/21 |
j-invariant |
L |
4.2067297926866 |
L(r)(E,1)/r! |
Ω |
2.1033643318378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
38829e1 116487e1 |
Quadratic twists by: -3 -43 |