Atkin-Lehner |
7+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
5159d |
Isogeny class |
Conductor |
5159 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
168240 |
Modular degree for the optimal curve |
Δ |
-2.3678382255097E+20 |
Discriminant |
Eigenvalues |
-1 0 -2 7+ 11- -6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,981284,638602022] |
[a1,a2,a3,a4,a6] |
j |
104498072547106119367023/236783822550971263183 |
j-invariant |
L |
0.18365043859946 |
L(r)(E,1)/r! |
Ω |
0.12243362573297 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
82544bc1 46431a1 128975i1 36113d1 |
Quadratic twists by: -4 -3 5 -7 |