Atkin-Lehner |
2- 19+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
52288m |
Isogeny class |
Conductor |
52288 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
-4604690432 = -1 · 217 · 19 · 432 |
Discriminant |
Eigenvalues |
2- 1 2 1 6 -5 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,383,1663] |
[a1,a2,a3,a4,a6] |
j |
47279806/35131 |
j-invariant |
L |
3.5108658033425 |
L(r)(E,1)/r! |
Ω |
0.87771645068093 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52288g1 13072b1 |
Quadratic twists by: -4 8 |