Atkin-Lehner |
3+ 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
40749f |
Isogeny class |
Conductor |
40749 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
82149735449396301 = 3 · 1712 · 47 |
Discriminant |
Eigenvalues |
0 3+ 3 1 -3 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-3328509,-2336194612] |
[a1,a2,a3,a4,a6] |
j |
168958296082874368/3403397229 |
j-invariant |
L |
2.011917368909 |
L(r)(E,1)/r! |
Ω |
0.11177318715873 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122247e2 2397c2 |
Quadratic twists by: -3 17 |