Atkin-Lehner |
2- 3+ 41+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21156b |
Isogeny class |
Conductor |
21156 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2832 |
Modular degree for the optimal curve |
Δ |
-3638832 = -1 · 24 · 3 · 41 · 432 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,27,66] |
[a1,a2,a3,a4,a6] |
Generators |
[68:623:64] |
Generators of the group modulo torsion |
j |
131072000/227427 |
j-invariant |
L |
4.058770694792 |
L(r)(E,1)/r! |
Ω |
1.7087886053436 |
Real period |
R |
4.7504655427825 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84624q1 63468h1 |
Quadratic twists by: -4 -3 |