Atkin-Lehner |
2- 7- 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
50666o |
Isogeny class |
Conductor |
50666 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
22848 |
Modular degree for the optimal curve |
Δ |
-783448358 = -1 · 2 · 73 · 11 · 473 |
Discriminant |
Eigenvalues |
2- 1 -2 7- 11- 2 -3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-519,4703] |
[a1,a2,a3,a4,a6] |
j |
-45080005879/2284106 |
j-invariant |
L |
3.1512361815088 |
L(r)(E,1)/r! |
Ω |
1.5756180906367 |
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 |
50666q1 |
Quadratic twists by: -7 |