Atkin-Lehner |
2+ 3- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
10944n |
Isogeny class |
Conductor |
10944 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-8147365412732928 = -1 · 219 · 316 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 4 0 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-49260,6047152] |
[a1,a2,a3,a4,a6] |
j |
-69173457625/42633378 |
j-invariant |
L |
3.0695890080221 |
L(r)(E,1)/r! |
Ω |
0.38369862600276 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10944cj2 342b2 3648j2 |
Quadratic twists by: -4 8 -3 |