Atkin-Lehner |
2- 13+ 103+ |
Signs for the Atkin-Lehner involutions |
Class |
85696bm |
Isogeny class |
Conductor |
85696 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3850268529655808 = 231 · 132 · 1032 |
Discriminant |
Eigenvalues |
2- 2 0 0 -2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-472558113,3954105483713] |
[a1,a2,a3,a4,a6] |
j |
44519416343554864920351625/14687608832 |
j-invariant |
L |
3.3068146871295 |
L(r)(E,1)/r! |
Ω |
0.18371193244775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85696q2 21424p2 |
Quadratic twists by: -4 8 |