Atkin-Lehner |
2+ 3+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20880f |
Isogeny class |
Conductor |
20880 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
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 |
[0:27:1] |
Generators of the group modulo torsion |
j |
-6912/725 |
j-invariant |
L |
5.8661786194867 |
L(r)(E,1)/r! |
Ω |
1.450729677352 |
Real period |
R |
1.0109013951852 |
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 |
10440c1 83520dl1 20880b1 104400i1 |
Quadratic twists by: -4 8 -3 5 |