Atkin-Lehner |
2+ 5- 13+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320i |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
8531200 |
Modular degree for the optimal curve |
Δ |
8185079926400000 = 210 · 55 · 135 · 832 |
Discriminant |
Eigenvalues |
2+ -2 5- 0 -2 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-386763320,2927500032100] |
[a1,a2,a3,a4,a6] |
Generators |
[11350:740:1] |
Generators of the group modulo torsion |
j |
6248267228713867418812842724/7993242115625 |
j-invariant |
L |
4.1542966920133 |
L(r)(E,1)/r! |
Ω |
0.18580496405138 |
Real period |
R |
2.2358373037354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999844987 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43160i1 |
Quadratic twists by: -4 |