Atkin-Lehner |
5+ 7- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
55825l |
Isogeny class |
Conductor |
55825 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
33316059207921875 = 56 · 73 · 118 · 29 |
Discriminant |
Eigenvalues |
1 0 5+ 7- 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1333892,593233641] |
[a1,a2,a3,a4,a6] |
Generators |
[7182:83559:8] |
Generators of the group modulo torsion |
j |
16798320881842096017/2132227789307 |
j-invariant |
L |
5.0460412510691 |
L(r)(E,1)/r! |
Ω |
0.35504254106906 |
Real period |
R |
4.7374991889622 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999678 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2233a4 |
Quadratic twists by: 5 |