Atkin-Lehner |
2+ 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
69966g |
Isogeny class |
Conductor |
69966 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3.6567205329763E+20 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 0 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5309082,4619007342] |
[a1,a2,a3,a4,a6] |
j |
4703210486403625/103921194078 |
j-invariant |
L |
1.3572582141724 |
L(r)(E,1)/r! |
Ω |
0.16965728015903 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
23322u2 5382j2 |
Quadratic twists by: -3 13 |