Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
9576w |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
102163203072 = 210 · 37 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -6 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11091,-449314] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:16:1] [134:686:1] |
Generators of the group modulo torsion |
j |
202119559492/136857 |
j-invariant |
L |
5.2129586346694 |
L(r)(E,1)/r! |
Ω |
0.46523730339521 |
Real period |
R |
5.6024727559732 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19152v3 76608bc4 3192a3 67032ce4 |
Quadratic twists by: -4 8 -3 -7 |