Atkin-Lehner |
2- 3+ 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
65472bj |
Isogeny class |
Conductor |
65472 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
17163091968 = 224 · 3 · 11 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 11+ 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-22347777,-40655569503] |
[a1,a2,a3,a4,a6] |
Generators |
[-5788515622915953808750445277852080:45427695510489044991194706737:2121112500175970390102999552000] |
Generators of the group modulo torsion |
j |
4708545773991716929537/65472 |
j-invariant |
L |
6.5612611691565 |
L(r)(E,1)/r! |
Ω |
0.069437003478392 |
Real period |
R |
47.246142839396 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
3.9999999998762 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65472y4 16368ba3 |
Quadratic twists by: -4 8 |