Atkin-Lehner |
2- 3- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86112bc |
Isogeny class |
Conductor |
86112 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1632166848 = -1 · 26 · 38 · 132 · 23 |
Discriminant |
Eigenvalues |
2- 3- 0 -4 0 13- -8 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-165,2108] |
[a1,a2,a3,a4,a6] |
Generators |
[-8:54:1] [-4:52:1] |
Generators of the group modulo torsion |
j |
-10648000/34983 |
j-invariant |
L |
9.8246939840742 |
L(r)(E,1)/r! |
Ω |
1.3152274104039 |
Real period |
R |
1.8674895889687 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998496 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86112n1 28704f1 |
Quadratic twists by: -4 -3 |