Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664bm |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
209938563072 = 214 · 310 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ -6 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4305,105039] |
[a1,a2,a3,a4,a6] |
Generators |
[-75:108:1] [-21:432:1] |
Generators of the group modulo torsion |
j |
538671647824/12813633 |
j-invariant |
L |
8.1063751823434 |
L(r)(E,1)/r! |
Ω |
0.9984227005562 |
Real period |
R |
0.81191815629068 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664dd2 5208h2 124992br2 |
Quadratic twists by: -4 8 -3 |