Atkin-Lehner |
3+ 7- 19- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
86583k |
Isogeny class |
Conductor |
86583 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9981220099179 = 3 · 77 · 194 · 31 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-170496,27025545] |
[a1,a2,a3,a4,a6] |
Generators |
[936732:16309109:1728] |
Generators of the group modulo torsion |
j |
4658885483793913/84838971 |
j-invariant |
L |
5.3798788371937 |
L(r)(E,1)/r! |
Ω |
0.66639237145283 |
Real period |
R |
8.0731398981204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999914771 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12369j3 |
Quadratic twists by: -7 |