Atkin-Lehner |
2+ 3- 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
69966n |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1.0001286927798E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1171962,-83136780] |
[a1,a2,a3,a4,a6] |
Generators |
[-468:19278:1] |
Generators of the group modulo torsion |
j |
50591419971625/28422890688 |
j-invariant |
L |
3.9360083770899 |
L(r)(E,1)/r! |
Ω |
0.15608172617135 |
Real period |
R |
0.52536691206381 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001766 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322t4 414a4 |
Quadratic twists by: -3 13 |