Atkin-Lehner |
2- 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944bp |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
-9980928 = -1 · 210 · 33 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 0 -6 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-72,280] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:21:1] [2:12:1] |
Generators of the group modulo torsion |
j |
-1492992/361 |
j-invariant |
L |
5.08084750959 |
L(r)(E,1)/r! |
Ω |
2.185292076437 |
Real period |
R |
1.162509937316 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999962 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10944j1 2736c1 10944bo1 |
Quadratic twists by: -4 8 -3 |