Atkin-Lehner |
2- 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
121800bu |
Isogeny class |
Conductor |
121800 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
1916928 |
Modular degree for the optimal curve |
Δ |
-421581028758750000 = -1 · 24 · 34 · 57 · 7 · 296 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1828883,951881238] |
[a1,a2,a3,a4,a6] |
Generators |
[787:783:1] |
Generators of the group modulo torsion |
j |
-2706086720175794176/1686324115035 |
j-invariant |
L |
9.4639546858704 |
L(r)(E,1)/r! |
Ω |
0.29522732835719 |
Real period |
R |
1.3356874856157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999327001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24360f1 |
Quadratic twists by: 5 |