Atkin-Lehner |
2+ 3- 5- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
41400u |
Isogeny class |
Conductor |
41400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
126729546624000 = 210 · 316 · 53 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 4 0 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18435,796750] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:990:1] |
Generators of the group modulo torsion |
j |
7425327956/1358127 |
j-invariant |
L |
6.8846126302295 |
L(r)(E,1)/r! |
Ω |
0.558036284998 |
Real period |
R |
3.0843033039759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999975 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82800cd2 13800bd2 41400ce2 |
Quadratic twists by: -4 -3 5 |