Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12768v |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
23024815163417088 = 29 · 32 · 712 · 192 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -6 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-73872,-2559348] |
[a1,a2,a3,a4,a6] |
Generators |
[-239310:1212897:1000] |
Generators of the group modulo torsion |
j |
87076146581536904/44970342116049 |
j-invariant |
L |
6.0521058453843 |
L(r)(E,1)/r! |
Ω |
0.30628139430868 |
Real period |
R |
9.8799763189089 |
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 |
12768p3 25536bz4 38304j3 89376bz3 |
Quadratic twists by: -4 8 -3 -7 |