Atkin-Lehner |
2- 5+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
96320bl |
Isogeny class |
Conductor |
96320 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-773272371200 = -1 · 221 · 52 · 73 · 43 |
Discriminant |
Eigenvalues |
2- 1 5+ 7- -5 2 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2239,-10561] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-448:1] |
Generators of the group modulo torsion |
j |
4733169839/2949800 |
j-invariant |
L |
5.8538223195814 |
L(r)(E,1)/r! |
Ω |
0.51711080684823 |
Real period |
R |
0.47167698000951 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999840692 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96320c1 24080r1 |
Quadratic twists by: -4 8 |