Atkin-Lehner |
2- 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944bz |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3137146454016 = 223 · 39 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50429964,-137841852400] |
[a1,a2,a3,a4,a6] |
Generators |
[-43388639260013107250044341116564000:-1667201094700750325482330481260:10582599626692245366454362590369] |
Generators of the group modulo torsion |
j |
74220219816682217473/16416 |
j-invariant |
L |
5.5206789222507 |
L(r)(E,1)/r! |
Ω |
0.056653584115421 |
Real period |
R |
48.723121479865 |
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 |
10944bg3 2736v3 3648v3 |
Quadratic twists by: -4 8 -3 |