Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944ca |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
3584 |
Modular degree for the optimal curve |
Δ |
7978176 = 26 · 38 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 4 -6 2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-219,-1240] |
[a1,a2,a3,a4,a6] |
Generators |
[1252:2835:64] |
Generators of the group modulo torsion |
j |
24897088/171 |
j-invariant |
L |
5.5377095089267 |
L(r)(E,1)/r! |
Ω |
1.2415616241844 |
Real period |
R |
4.4602776060869 |
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 |
10944cm1 5472m2 3648w1 |
Quadratic twists by: -4 8 -3 |