Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944cd |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2560 |
Modular degree for the optimal curve |
Δ |
-7978176 = -1 · 26 · 38 · 19 |
Discriminant |
Eigenvalues |
2- 3- -3 5 -1 -2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,326] |
[a1,a2,a3,a4,a6] |
Generators |
[7:9:1] |
Generators of the group modulo torsion |
j |
-1404928/171 |
j-invariant |
L |
4.2690161209199 |
L(r)(E,1)/r! |
Ω |
2.2680252235146 |
Real period |
R |
0.94113065336737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10944bk1 2736w1 3648x1 |
Quadratic twists by: -4 8 -3 |