Atkin-Lehner |
2+ 3+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
9768b |
Isogeny class |
Conductor |
9768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
151022032128 = 28 · 32 · 116 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ 4 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1332,1332] |
[a1,a2,a3,a4,a6] |
j |
1021697727568/589929813 |
j-invariant |
L |
1.7471399638259 |
L(r)(E,1)/r! |
Ω |
0.87356998191297 |
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 |
19536o2 78144bm2 29304s2 107448r2 |
Quadratic twists by: -4 8 -3 -11 |