Atkin-Lehner |
2+ 3+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
10416b |
Isogeny class |
Conductor |
10416 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
17998848 = 210 · 34 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ -4 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4632,-119808] |
[a1,a2,a3,a4,a6] |
j |
10735521941092/17577 |
j-invariant |
L |
1.1573897778034 |
L(r)(E,1)/r! |
Ω |
0.57869488890172 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5208m3 41664dr4 31248m4 72912x4 |
Quadratic twists by: -4 8 -3 -7 |