Atkin-Lehner |
2- 3- 19- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
18126p |
Isogeny class |
Conductor |
18126 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
428544 |
Modular degree for the optimal curve |
Δ |
-1.0660740122034E+19 |
Discriminant |
Eigenvalues |
2- 3- -3 2 -3 2 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1321889,-605374351] |
[a1,a2,a3,a4,a6] |
j |
-350413509960208739017/14623786175629824 |
j-invariant |
L |
2.528212143074 |
L(r)(E,1)/r! |
Ω |
0.070228115085388 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6042i1 |
Quadratic twists by: -3 |