Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784bx |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-13908900096 = -1 · 28 · 38 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 2 13+ -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,100,5628] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:567:8] |
Generators of the group modulo torsion |
j |
2530736/321489 |
j-invariant |
L |
6.0007491928125 |
L(r)(E,1)/r! |
Ω |
0.96407808411548 |
Real period |
R |
1.5560848472086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14196i1 56784bg1 |
Quadratic twists by: -4 13 |