Atkin-Lehner |
2+ 3+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
27144a |
Isogeny class |
Conductor |
27144 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
10752 |
Modular degree for the optimal curve |
Δ |
-1899645696 = -1 · 28 · 39 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -4 2 13- -3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,108,2052] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-54:1] |
Generators of the group modulo torsion |
j |
27648/377 |
j-invariant |
L |
5.0452434796398 |
L(r)(E,1)/r! |
Ω |
1.0964122866325 |
Real period |
R |
0.57519916790789 |
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 |
54288b1 27144h1 |
Quadratic twists by: -4 -3 |