Atkin-Lehner |
2+ 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
54720cb |
Isogeny class |
Conductor |
54720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
976879833204326400 = 216 · 322 · 52 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-443532,-103271056] |
[a1,a2,a3,a4,a6] |
j |
201971983086724/20447192475 |
j-invariant |
L |
2.979296917884 |
L(r)(E,1)/r! |
Ω |
0.18620605741599 |
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 |
54720eh3 6840e3 18240f4 |
Quadratic twists by: -4 8 -3 |