Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944bc |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-226934784 = -1 · 214 · 36 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 -3 4 -5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,-736] |
[a1,a2,a3,a4,a6] |
Generators |
[25:117:1] |
Generators of the group modulo torsion |
j |
-1024/19 |
j-invariant |
L |
3.5681335810129 |
L(r)(E,1)/r! |
Ω |
0.76085823292337 |
Real period |
R |
2.344808419371 |
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 |
10944bv1 1368f1 1216g1 |
Quadratic twists by: -4 8 -3 |