Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184bp |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-2167191355392 = -1 · 214 · 36 · 73 · 232 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ -4 4 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1179,72522] |
[a1,a2,a3,a4,a6] |
j |
-60698457/725788 |
j-invariant |
L |
2.7981141412773 |
L(r)(E,1)/r! |
Ω |
0.69952853531935 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2898q1 92736eq1 2576j1 |
Quadratic twists by: -4 8 -3 |