Atkin-Lehner |
2+ 7- 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
55216f |
Isogeny class |
Conductor |
55216 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
829289093476272128 = 211 · 78 · 174 · 292 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 -2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-267179,-30098182] |
[a1,a2,a3,a4,a6] |
Generators |
[-281:4774:1] |
Generators of the group modulo torsion |
j |
1029913426633122306/404926315173961 |
j-invariant |
L |
6.7226899914882 |
L(r)(E,1)/r! |
Ω |
0.21717958510749 |
Real period |
R |
3.869315103986 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
27608f4 |
Quadratic twists by: -4 |