Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592cw |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1844063232 = -1 · 210 · 3 · 114 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 4 11+ -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3,2067] |
[a1,a2,a3,a4,a6] |
Generators |
[-6747:2696680:59319] |
Generators of the group modulo torsion |
j |
2048/1800843 |
j-invariant |
L |
11.344219234465 |
L(r)(E,1)/r! |
Ω |
1.1767085803048 |
Real period |
R |
9.6406361119039 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001756 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86592p1 21648f1 |
Quadratic twists by: -4 8 |