Atkin-Lehner |
2- 3- 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920gf |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
62337329725440 = 216 · 3 · 5 · 78 · 11 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 11+ -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17281,-793345] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:156:1] |
Generators of the group modulo torsion |
j |
8709145038724/951192165 |
j-invariant |
L |
6.3943702303856 |
L(r)(E,1)/r! |
Ω |
0.4193448578988 |
Real period |
R |
3.8121191357627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
4.0000000007924 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920p3 18480l3 |
Quadratic twists by: -4 8 |