Atkin-Lehner |
2+ 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970r |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
819004304773207350 = 2 · 39 · 52 · 72 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3199635,2203289991] |
[a1,a2,a3,a4,a6] |
j |
4969327007303723277361/1123462695162150 |
j-invariant |
L |
1.0996757387597 |
L(r)(E,1)/r! |
Ω |
0.27491893468993 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95760ea6 3990bb5 59850fh6 83790cn6 |
Quadratic twists by: -4 -3 5 -7 |