Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9576q |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
455319954432 = 210 · 33 · 74 · 193 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 6 0 -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7251,-235426] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:28:1] |
Generators of the group modulo torsion |
j |
1524943337004/16468459 |
j-invariant |
L |
4.2489005119005 |
L(r)(E,1)/r! |
Ω |
0.51770627507303 |
Real period |
R |
2.0517911007072 |
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 |
19152h1 76608w1 9576d1 67032bn1 |
Quadratic twists by: -4 8 -3 -7 |