Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
43350dd |
Isogeny class |
Conductor |
43350 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
221184 |
Modular degree for the optimal curve |
Δ |
-814642953750000 = -1 · 24 · 33 · 57 · 176 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 -2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,10687,1306617] |
[a1,a2,a3,a4,a6] |
Generators |
[-44:889:1] |
Generators of the group modulo torsion |
j |
357911/2160 |
j-invariant |
L |
9.1720716534675 |
L(r)(E,1)/r! |
Ω |
0.36356983523085 |
Real period |
R |
1.0511588564126 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8670e1 150c1 |
Quadratic twists by: 5 17 |