Atkin-Lehner |
2+ 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50008a |
Isogeny class |
Conductor |
50008 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
-11766782384 = -1 · 24 · 77 · 19 · 47 |
Discriminant |
Eigenvalues |
2+ 1 -1 7+ 4 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,209,5158] |
[a1,a2,a3,a4,a6] |
j |
62800480256/735423899 |
j-invariant |
L |
1.8765432869905 |
L(r)(E,1)/r! |
Ω |
0.93827164347352 |
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 |
100016h1 |
Quadratic twists by: -4 |