Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944a |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
8404992 = 214 · 33 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 0 2 2 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60,-112] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:8:1] |
Generators of the group modulo torsion |
j |
54000/19 |
j-invariant |
L |
4.6852946528413 |
L(r)(E,1)/r! |
Ω |
1.7650413846741 |
Real period |
R |
1.3272478179616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10944br1 1368e1 10944b1 |
Quadratic twists by: -4 8 -3 |