Atkin-Lehner |
2+ 7+ 19+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
50008b |
Isogeny class |
Conductor |
50008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
80025602048 = 211 · 72 · 192 · 472 |
Discriminant |
Eigenvalues |
2+ -2 2 7+ -2 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15512,-748688] |
[a1,a2,a3,a4,a6] |
j |
201569651552306/39075001 |
j-invariant |
L |
0.85558925236909 |
L(r)(E,1)/r! |
Ω |
0.42779462595083 |
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 |
100016i2 |
Quadratic twists by: -4 |