Atkin-Lehner |
3- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
68355bg |
Isogeny class |
Conductor |
68355 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
19405669388850045 = 36 · 5 · 78 · 314 |
Discriminant |
Eigenvalues |
1 3- 5- 7- 4 -2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-585069,-171973180] |
[a1,a2,a3,a4,a6] |
Generators |
[-2983774132:-20070571:6644672] |
Generators of the group modulo torsion |
j |
258243633650241/226262645 |
j-invariant |
L |
7.6176663386144 |
L(r)(E,1)/r! |
Ω |
0.1726317175114 |
Real period |
R |
11.031672580054 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000712 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
7595e4 9765b4 |
Quadratic twists by: -3 -7 |