Atkin-Lehner |
2- 5- 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
66880dw |
Isogeny class |
Conductor |
66880 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-1492268246892544000 = -1 · 221 · 53 · 112 · 196 |
Discriminant |
Eigenvalues |
2- -2 5- 4 11- -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,240735,37328863] |
[a1,a2,a3,a4,a6] |
Generators |
[66:7315:1] |
Generators of the group modulo torsion |
j |
5885721311824151/5692551601000 |
j-invariant |
L |
5.3794379747303 |
L(r)(E,1)/r! |
Ω |
0.17643925953587 |
Real period |
R |
1.6938274738107 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000071 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
66880y4 16720s4 |
Quadratic twists by: -4 8 |