Atkin-Lehner |
2+ 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
18450g |
Isogeny class |
Conductor |
18450 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
-28693440000000 = -1 · 212 · 37 · 57 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1917,-259259] |
[a1,a2,a3,a4,a6] |
j |
-68417929/2519040 |
j-invariant |
L |
1.1586030882923 |
L(r)(E,1)/r! |
Ω |
0.28965077207307 |
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 |
6150y1 3690t1 |
Quadratic twists by: -3 5 |