Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880do |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-6.0773090688526E+22 |
Discriminant |
Eigenvalues |
2- 0 5- 2 11- -6 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-36209452,-84699622704] |
[a1,a2,a3,a4,a6] |
Generators |
[42277:8599305:1] |
Generators of the group modulo torsion |
j |
-40057112705491230991938/463661885746200625 |
j-invariant |
L |
6.9806702947111 |
L(r)(E,1)/r! |
Ω |
0.030751382045548 |
Real period |
R |
5.6750866387308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880t2 16720a2 |
Quadratic twists by: -4 8 |