Atkin-Lehner |
2- 3+ 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
86640ck |
Isogeny class |
Conductor |
86640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.3549785504819E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 4 0 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-729340,161831500] |
[a1,a2,a3,a4,a6] |
Generators |
[85103688170:9163358716995:7301384] |
Generators of the group modulo torsion |
j |
519388144/164025 |
j-invariant |
L |
6.9929302784818 |
L(r)(E,1)/r! |
Ω |
0.20666025290955 |
Real period |
R |
16.918904785208 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999924989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21660bc2 86640dy2 |
Quadratic twists by: -4 -19 |