Atkin-Lehner |
2- 3- 11+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
86592cu |
Isogeny class |
Conductor |
86592 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
912384 |
Modular degree for the optimal curve |
Δ |
-117954064863461376 = -1 · 227 · 311 · 112 · 41 |
Discriminant |
Eigenvalues |
2- 3- 1 4 11+ -1 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-105025,-21122113] |
[a1,a2,a3,a4,a6] |
Generators |
[581:10692:1] |
Generators of the group modulo torsion |
j |
-488726621230609/449959048704 |
j-invariant |
L |
10.026399986275 |
L(r)(E,1)/r! |
Ω |
0.12774714213107 |
Real period |
R |
1.7837794504417 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999988906 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86592n1 21648t1 |
Quadratic twists by: -4 8 |