Atkin-Lehner |
2- 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592di |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-162948132864 = -1 · 212 · 36 · 113 · 41 |
Discriminant |
Eigenvalues |
2- 3- -1 -3 11- -2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,919,16503] |
[a1,a2,a3,a4,a6] |
Generators |
[1:-132:1] [-11:72:1] |
Generators of the group modulo torsion |
j |
20933297216/39782259 |
j-invariant |
L |
11.607439368566 |
L(r)(E,1)/r! |
Ω |
0.70365494279989 |
Real period |
R |
0.45822014702581 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000119 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592bv1 43296a1 |
Quadratic twists by: -4 8 |