Atkin-Lehner |
2- 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
90992z |
Isogeny class |
Conductor |
90992 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
354816 |
Modular degree for the optimal curve |
Δ |
5282132083081216 = 219 · 118 · 47 |
Discriminant |
Eigenvalues |
2- -1 -1 0 11- -3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-79416,7898992] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:2894:1] [444:7744:1] |
Generators of the group modulo torsion |
j |
63088729/6016 |
j-invariant |
L |
8.516043778289 |
L(r)(E,1)/r! |
Ω |
0.41815585973697 |
Real period |
R |
1.6971430589234 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993898 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11374d1 90992y1 |
Quadratic twists by: -4 -11 |