Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gg |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
181347876864000 = 219 · 33 · 53 · 7 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16128161,-24935555361] |
[a1,a2,a3,a4,a6] |
Generators |
[51386:2955909:8] |
Generators of the group modulo torsion |
j |
1769857772964702379561/691787250 |
j-invariant |
L |
6.6282930121485 |
L(r)(E,1)/r! |
Ω |
0.075336135737711 |
Real period |
R |
7.3319097888715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999995749 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920q5 18480cc4 |
Quadratic twists by: -4 8 |