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 |
deg |
3594240 |
Modular degree for the optimal curve |
Δ |
-5.17523938383E+19 |
Discriminant |
Eigenvalues |
2- 2 0 0 -2 13+ 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-29534753,61790847425] |
[a1,a2,a3,a4,a6] |
j |
-10868855989257959199625/197419715264512 |
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 |
85696q1 21424p1 |
Quadratic twists by: -4 8 |