Atkin-Lehner |
2- 3+ 5+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
56760l |
Isogeny class |
Conductor |
56760 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
12886790400 = 28 · 32 · 52 · 112 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-836,-7260] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:42:1] [-12:30:1] |
Generators of the group modulo torsion |
j |
252709731664/50339025 |
j-invariant |
L |
7.8573027111787 |
L(r)(E,1)/r! |
Ω |
0.90014225094003 |
Real period |
R |
2.1822391691355 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
113520n2 |
Quadratic twists by: -4 |