Atkin-Lehner |
2- 5+ 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89570q |
Isogeny class |
Conductor |
89570 |
Conductor |
∏ cp |
144 |
Product of Tamagawa factors cp |
Δ |
6.1222492342904E+19 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-6670011,-6620232815] |
[a1,a2,a3,a4,a6] |
j |
6798972002354808121/12683843993600 |
j-invariant |
L |
3.3823543285453 |
L(r)(E,1)/r! |
Ω |
0.093954283787962 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6890h3 |
Quadratic twists by: 13 |