Atkin-Lehner |
2+ 5+ 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
56050b |
Isogeny class |
Conductor |
56050 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14256 |
Modular degree for the optimal curve |
Δ |
-80936200 = -1 · 23 · 52 · 193 · 59 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,73,-379] |
[a1,a2,a3,a4,a6] |
j |
1707660495/3237448 |
j-invariant |
L |
1.0066968320173 |
L(r)(E,1)/r! |
Ω |
1.006696831034 |
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 |
56050p1 |
Quadratic twists by: 5 |