Atkin-Lehner |
3- 5- 23- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
85905h |
Isogeny class |
Conductor |
85905 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-4.4244462517986E+20 |
Discriminant |
Eigenvalues |
-1 3- 5- 0 2 -4 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-13059077,18195657954] |
[a1,a2,a3,a4,a6] |
Generators |
[-4018:78081:1] [122:128796:1] |
Generators of the group modulo torsion |
j |
-337857528246214637681929/606919924800910125 |
j-invariant |
L |
7.7185958613715 |
L(r)(E,1)/r! |
Ω |
0.16722063815928 |
Real period |
R |
0.96162819501068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000223 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28635a2 |
Quadratic twists by: -3 |