Atkin-Lehner |
2+ 3- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
27456bb |
Isogeny class |
Conductor |
27456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-172738215936 = -1 · 227 · 32 · 11 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 1 -3 11+ 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2945,63711] |
[a1,a2,a3,a4,a6] |
Generators |
[139:1536:1] |
Generators of the group modulo torsion |
j |
-10779215329/658944 |
j-invariant |
L |
6.2418539463544 |
L(r)(E,1)/r! |
Ω |
1.0017081132656 |
Real period |
R |
0.77890129166543 |
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 |
27456bv1 858g1 82368cg1 |
Quadratic twists by: -4 8 -3 |