Atkin-Lehner |
2+ 3- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
4446i |
Isogeny class |
Conductor |
4446 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-87510618 = -1 · 2 · 311 · 13 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -4 -3 -1 13- -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-684,7074] |
[a1,a2,a3,a4,a6] |
Generators |
[21:30:1] |
Generators of the group modulo torsion |
j |
-48587168449/120042 |
j-invariant |
L |
1.7202221837223 |
L(r)(E,1)/r! |
Ω |
1.9181571633605 |
Real period |
R |
0.22420245543236 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35568ck1 1482k1 111150dz1 57798bt1 |
Quadratic twists by: -4 -3 5 13 |