Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
8976p |
Isogeny class |
Conductor |
8976 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
322390171090944 = 215 · 314 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11+ 0 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-19624,617584] |
[a1,a2,a3,a4,a6] |
j |
204055591784617/78708537864 |
j-invariant |
L |
0.98889549088199 |
L(r)(E,1)/r! |
Ω |
0.494447745441 |
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 |
1122d2 35904cw2 26928bw2 98736cq2 |
Quadratic twists by: -4 8 -3 -11 |