Atkin-Lehner |
2- 3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
23184bs |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-1090326085632 = -1 · 214 · 310 · 72 · 23 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ 2 2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2517,-12710] |
[a1,a2,a3,a4,a6] |
j |
590589719/365148 |
j-invariant |
L |
4.0278804599219 |
L(r)(E,1)/r! |
Ω |
0.50348505749023 |
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 |
2898s1 92736et1 7728q1 |
Quadratic twists by: -4 8 -3 |