Atkin-Lehner |
7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5159d |
Isogeny class |
Conductor |
5159 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4.7674754041868E+23 |
Discriminant |
Eigenvalues |
-1 0 -2 7+ 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-37750816,-82856287104] |
[a1,a2,a3,a4,a6] |
j |
5949804994636112495205434577/476747540418683742682859 |
j-invariant |
L |
0.18365043859946 |
L(r)(E,1)/r! |
Ω |
0.061216812866487 |
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 |
82544bc3 46431a3 128975i3 36113d3 |
Quadratic twists by: -4 -3 5 -7 |