Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944p |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
2 |
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 |
0.99142839136195 |
L(r)(E,1)/r! |
Ω |
0.49571419568097 |
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 |
10944ck1 1368c1 3648k1 |
Quadratic twists by: -4 8 -3 |