Atkin-Lehner |
2+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
18496f |
Isogeny class |
Conductor |
18496 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
321978368 = 216 · 173 |
Discriminant |
Eigenvalues |
2+ -2 0 -2 2 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1473,-22241] |
[a1,a2,a3,a4,a6] |
Generators |
[-22:1:1] |
Generators of the group modulo torsion |
j |
1098500 |
j-invariant |
L |
3.2401034559618 |
L(r)(E,1)/r! |
Ω |
0.77063376910175 |
Real period |
R |
2.1022329839882 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18496m2 2312a2 18496e2 |
Quadratic twists by: -4 8 17 |