Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
43296m |
Isogeny class |
Conductor |
43296 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
-617227776 = -1 · 29 · 35 · 112 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 4 11+ 1 -5 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,120,-1044] |
[a1,a2,a3,a4,a6] |
Generators |
[15:66:1] |
Generators of the group modulo torsion |
j |
370146232/1205523 |
j-invariant |
L |
8.9368699295288 |
L(r)(E,1)/r! |
Ω |
0.83021245055508 |
Real period |
R |
1.0764557823195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43296k1 86592co1 129888bd1 |
Quadratic twists by: -4 8 -3 |