Atkin-Lehner |
7+ 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
6643a |
Isogeny class |
Conductor |
6643 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8232 |
Modular degree for the optimal curve |
Δ |
-4164838954003 = -1 · 77 · 13 · 733 |
Discriminant |
Eigenvalues |
1 0 0 7+ -3 13+ -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6347,-216412] |
[a1,a2,a3,a4,a6] |
j |
-28279237523279625/4164838954003 |
j-invariant |
L |
0.79583404465154 |
L(r)(E,1)/r! |
Ω |
0.26527801488385 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106288q1 59787e1 46501d1 86359a1 |
Quadratic twists by: -4 -3 -7 13 |