Atkin-Lehner |
2- 3- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
1584o |
Isogeny class |
Conductor |
1584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-248396544 = -1 · 28 · 36 · 113 |
Discriminant |
Eigenvalues |
2- 3- 3 -2 11+ -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,-7108] |
[a1,a2,a3,a4,a6] |
Generators |
[38:146:1] |
Generators of the group modulo torsion |
j |
-199794688/1331 |
j-invariant |
L |
3.0492557716185 |
L(r)(E,1)/r! |
Ω |
0.46456275073366 |
Real period |
R |
3.2818556446927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
396c2 6336cm2 176c2 39600de2 |
Quadratic twists by: -4 8 -3 5 |