Atkin-Lehner |
2- 3- 5- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
59160x |
Isogeny class |
Conductor |
59160 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-70992000000 = -1 · 210 · 32 · 56 · 17 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 6 3 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,640,-10992] |
[a1,a2,a3,a4,a6] |
Generators |
[16:60:1] |
Generators of the group modulo torsion |
j |
28267338236/69328125 |
j-invariant |
L |
9.1471774177928 |
L(r)(E,1)/r! |
Ω |
0.56553158685483 |
Real period |
R |
0.67393652498209 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998815 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
118320h1 |
Quadratic twists by: -4 |