Atkin-Lehner |
2+ 3- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
43296p |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-2546064576 = -1 · 26 · 36 · 113 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 3 11- 2 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,230,-1948] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-198:1] |
Generators of the group modulo torsion |
j |
20933297216/39782259 |
j-invariant |
L |
8.9345553071922 |
L(r)(E,1)/r! |
Ω |
0.75515483290477 |
Real period |
R |
0.32865060389251 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999979 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43296a1 86592bv1 129888x1 |
Quadratic twists by: -4 8 -3 |