Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6120g |
Isogeny class |
Conductor |
6120 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3931813094400 = 210 · 312 · 52 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-55083,-4975018] |
[a1,a2,a3,a4,a6] |
j |
24759905519524/5267025 |
j-invariant |
L |
0.6232764214609 |
L(r)(E,1)/r! |
Ω |
0.31163821073045 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
12240m2 48960cw2 2040l2 30600cn2 |
Quadratic twists by: -4 8 -3 5 |