Atkin-Lehner |
2- 3+ 41- 43- |
Signs for the Atkin-Lehner involutions |
Class |
21156c |
Isogeny class |
Conductor |
21156 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
1407168 |
Modular degree for the optimal curve |
Δ |
-1.9090808485473E+22 |
Discriminant |
Eigenvalues |
2- 3+ 0 1 2 4 2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33146053,73761945793] |
[a1,a2,a3,a4,a6] |
j |
-15731829150446623399936000/74573470646379953307 |
j-invariant |
L |
2.2098116482958 |
L(r)(E,1)/r! |
Ω |
0.12276731379421 |
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 |
84624z1 63468b1 |
Quadratic twists by: -4 -3 |