Atkin-Lehner |
2+ 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288d |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
22528 |
Modular degree for the optimal curve |
Δ |
-2743932672 = -1 · 28 · 37 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 0 -4 0 13+ -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,105,2486] |
[a1,a2,a3,a4,a6] |
Generators |
[2:52:1] [5:56:1] |
Generators of the group modulo torsion |
j |
686000/14703 |
j-invariant |
L |
8.9332636401305 |
L(r)(E,1)/r! |
Ω |
1.0741158745096 |
Real period |
R |
4.1584264100965 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27144b1 18096d1 |
Quadratic twists by: -4 -3 |