Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
9576l |
Isogeny class |
Conductor |
9576 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
118842909696 = 210 · 38 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9579,360470] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:720:1] |
Generators of the group modulo torsion |
j |
130213720228/159201 |
j-invariant |
L |
5.1036633638349 |
L(r)(E,1)/r! |
Ω |
1.0456704221793 |
Real period |
R |
2.4403785626825 |
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 |
19152q2 76608cn2 3192n2 67032bg2 |
Quadratic twists by: -4 8 -3 -7 |