Atkin-Lehner |
2- 3- 23- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
30222m |
Isogeny class |
Conductor |
30222 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1608324174 = 2 · 38 · 23 · 732 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 2 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19886,-1074369] |
[a1,a2,a3,a4,a6] |
j |
1192938389367193/2206206 |
j-invariant |
L |
3.2162843483191 |
L(r)(E,1)/r! |
Ω |
0.40203554354014 |
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 |
10074c2 |
Quadratic twists by: -3 |