Atkin-Lehner |
2- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
36848m |
Isogeny class |
Conductor |
36848 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-31074214363136 = -1 · 214 · 79 · 47 |
Discriminant |
Eigenvalues |
2- 1 -3 7- -3 -2 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2728,263444] |
[a1,a2,a3,a4,a6] |
Generators |
[44:686:1] |
Generators of the group modulo torsion |
j |
4657463/64484 |
j-invariant |
L |
4.1579066797967 |
L(r)(E,1)/r! |
Ω |
0.48864101864042 |
Real period |
R |
2.1272808264057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4606f1 5264f1 |
Quadratic twists by: -4 -7 |