Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
10440c |
Isogeny class |
Conductor |
10440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-228322800 = -1 · 24 · 39 · 52 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -3 3 -5 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-27,-729] |
[a1,a2,a3,a4,a6] |
Generators |
[27:135:1] |
Generators of the group modulo torsion |
j |
-6912/725 |
j-invariant |
L |
4.3872664149097 |
L(r)(E,1)/r! |
Ω |
0.78217088623446 |
Real period |
R |
0.70113617307322 |
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 |
20880f1 83520c1 10440n1 52200bn1 |
Quadratic twists by: -4 8 -3 5 |