Atkin-Lehner |
2+ 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50008b |
Isogeny class |
Conductor |
50008 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36096 |
Modular degree for the optimal curve |
Δ |
43904623616 = 210 · 7 · 194 · 47 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ -2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1072,-9360] |
[a1,a2,a3,a4,a6] |
j |
133172077252/42875609 |
j-invariant |
L |
0.85558925236909 |
L(r)(E,1)/r! |
Ω |
0.85558925190165 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
100016i1 |
Quadratic twists by: -4 |