Atkin-Lehner |
19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
95779g |
Isogeny class |
Conductor |
95779 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
48960 |
Modular degree for the optimal curve |
Δ |
-9173616841 = -1 · 192 · 714 |
Discriminant |
Eigenvalues |
-1 -2 1 2 -2 -6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-105,4618] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:74:1] [9:62:1] |
Generators of the group modulo torsion |
j |
-5041/361 |
j-invariant |
L |
5.4978834234444 |
L(r)(E,1)/r! |
Ω |
1.0711453745473 |
Real period |
R |
0.8554524209119 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001117 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95779h1 |
Quadratic twists by: -71 |