Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
20592bt |
Isogeny class |
Conductor |
20592 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-245519118434304 = -1 · 216 · 39 · 114 · 13 |
Discriminant |
Eigenvalues |
2- 3- 2 0 11- 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22179,1478050] |
[a1,a2,a3,a4,a6] |
Generators |
[23:990:1] |
Generators of the group modulo torsion |
j |
-404075127457/82223856 |
j-invariant |
L |
6.022185770708 |
L(r)(E,1)/r! |
Ω |
0.53181311184959 |
Real period |
R |
1.4154845086847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2574j1 82368dr1 6864w1 |
Quadratic twists by: -4 8 -3 |