Atkin-Lehner |
2- 3+ 29- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
27666f |
Isogeny class |
Conductor |
27666 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
19200 |
Modular degree for the optimal curve |
Δ |
-72071479296 = -1 · 215 · 33 · 29 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 1 1 0 4 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1033,-2097] |
[a1,a2,a3,a4,a6] |
Generators |
[27:-226:1] |
Generators of the group modulo torsion |
j |
4519131691437/2669314048 |
j-invariant |
L |
9.5628458558711 |
L(r)(E,1)/r! |
Ω |
0.64078776294223 |
Real period |
R |
0.24872629204513 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27666a1 |
Quadratic twists by: -3 |