Atkin-Lehner |
2- 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10944ck |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-737311113216 = -1 · 214 · 38 · 193 |
Discriminant |
Eigenvalues |
2- 3- 1 3 5 2 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1968,24032] |
[a1,a2,a3,a4,a6] |
j |
70575104/61731 |
j-invariant |
L |
3.5158926929227 |
L(r)(E,1)/r! |
Ω |
0.58598211548712 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10944p1 2736f1 3648ba1 |
Quadratic twists by: -4 8 -3 |