Atkin-Lehner |
2+ 3- 7+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
9198d |
Isogeny class |
Conductor |
9198 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
194925782016 = 210 · 36 · 72 · 732 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-49056,-4169728] |
[a1,a2,a3,a4,a6] |
Generators |
[2081:93312:1] |
Generators of the group modulo torsion |
j |
17909256772123137/267387904 |
j-invariant |
L |
3.5639565188619 |
L(r)(E,1)/r! |
Ω |
0.32079419103601 |
Real period |
R |
5.5548956596627 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
73584bh2 1022b2 64386r2 |
Quadratic twists by: -4 -3 -7 |