Atkin-Lehner |
3- 5- 29- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
18705k |
Isogeny class |
Conductor |
18705 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
164372226345 = 36 · 5 · 293 · 432 |
Discriminant |
Eigenvalues |
1 3- 5- 2 6 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2928,-58007] |
[a1,a2,a3,a4,a6] |
j |
2774748946640761/164372226345 |
j-invariant |
L |
5.8630293217901 |
L(r)(E,1)/r! |
Ω |
0.65144770242112 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56115e1 93525j1 |
Quadratic twists by: -3 5 |