Atkin-Lehner |
2+ 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
10080m |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
39191040 = 29 · 37 · 5 · 7 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10083,-389702] |
[a1,a2,a3,a4,a6] |
j |
303735479048/105 |
j-invariant |
L |
1.9057332582873 |
L(r)(E,1)/r! |
Ω |
0.47643331457183 |
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 |
10080s3 20160eu3 3360w3 50400dx4 |
Quadratic twists by: -4 8 -3 5 |