Atkin-Lehner |
2+ 17+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
85952f |
Isogeny class |
Conductor |
85952 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.9305188762804E+23 |
Discriminant |
Eigenvalues |
2+ -1 3 5 6 1 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-25523969,-44897552639] |
[a1,a2,a3,a4,a6] |
j |
7015012231880398928833/736434507858417904 |
j-invariant |
L |
4.8689232689511 |
L(r)(E,1)/r! |
Ω |
0.067623936390238 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85952n2 2686c2 |
Quadratic twists by: -4 8 |