Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12768x |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
Δ |
-9956395822173696 = -1 · 29 · 310 · 7 · 196 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 -6 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-555504,159247116] |
[a1,a2,a3,a4,a6] |
Generators |
[435:324:1] |
Generators of the group modulo torsion |
j |
-37026793537101341576/19446085590183 |
j-invariant |
L |
4.6815595574934 |
L(r)(E,1)/r! |
Ω |
0.40243833869665 |
Real period |
R |
2.3265971987934 |
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 |
12768r2 25536bx2 38304i2 89376bw2 |
Quadratic twists by: -4 8 -3 -7 |