Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550y |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2284800 |
Modular degree for the optimal curve |
Δ |
-1.1517556893696E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -5 1 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3284442,2297713716] |
[a1,a2,a3,a4,a6] |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
0.45468469400038 |
L(r)(E,1)/r! |
Ω |
0.22734234840474 |
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 |
17850bt1 2142s1 |
Quadratic twists by: -3 5 |