Atkin-Lehner |
3+ 5- 11- 71- |
Signs for the Atkin-Lehner involutions |
Class |
128865l |
Isogeny class |
Conductor |
128865 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2.2162422739504E+21 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11- -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-3694435,1528215140] |
[a1,a2,a3,a4,a6] |
Generators |
[2453:83823:1] [-902:64698:1] |
Generators of the group modulo torsion |
j |
3147833105050353481/1251010986328125 |
j-invariant |
L |
7.2852987690766 |
L(r)(E,1)/r! |
Ω |
0.13281016116183 |
Real period |
R |
4.5712483555493 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990964 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11715d4 |
Quadratic twists by: -11 |