Atkin-Lehner |
2- 3- 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784ck |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
86317205353037568 = 28 · 310 · 7 · 138 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1052588,-415768248] |
[a1,a2,a3,a4,a6] |
Generators |
[14035810:1658347821:1000] |
Generators of the group modulo torsion |
j |
104375673106000/69854967 |
j-invariant |
L |
7.358319849313 |
L(r)(E,1)/r! |
Ω |
0.14905699567227 |
Real period |
R |
9.8731627001365 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999781 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14196d2 4368x2 |
Quadratic twists by: -4 13 |