Atkin-Lehner |
2- 3- 5+ 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
93450cm |
Isogeny class |
Conductor |
93450 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
82678579200 = 216 · 34 · 52 · 7 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 -5 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1098,-2268] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:-90:1] |
Generators of the group modulo torsion |
j |
5856193852105/3307143168 |
j-invariant |
L |
10.751647931306 |
L(r)(E,1)/r! |
Ω |
0.89371035404485 |
Real period |
R |
0.18797421103443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013797 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93450t1 |
Quadratic twists by: 5 |