Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19044l |
Isogeny class |
Conductor |
19044 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-43844127951244032 = -1 · 28 · 37 · 238 |
Discriminant |
Eigenvalues |
2- 3- 4 3 0 1 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-292008,-61565020] |
[a1,a2,a3,a4,a6] |
j |
-188416/3 |
j-invariant |
L |
4.9243774347304 |
L(r)(E,1)/r! |
Ω |
0.10259119655688 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76176cj1 6348d1 19044m1 |
Quadratic twists by: -4 -3 -23 |