Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768z |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
30030336 = 29 · 32 · 73 · 19 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-625632,-190678680] |
[a1,a2,a3,a4,a6] |
j |
52894596367017490184/58653 |
j-invariant |
L |
2.7160623848927 |
L(r)(E,1)/r! |
Ω |
0.16975389905579 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12768n3 25536bs4 38304n4 89376bm4 |
Quadratic twists by: -4 8 -3 -7 |