Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768m |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-365414112607993344 = -1 · 29 · 324 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-150192,-36662220] |
[a1,a2,a3,a4,a6] |
Generators |
[2574960531262110:-6377196313516509:5368567751000] |
Generators of the group modulo torsion |
j |
-731807817170000264/713699438687487 |
j-invariant |
L |
4.2157917017082 |
L(r)(E,1)/r! |
Ω |
0.11663611877898 |
Real period |
R |
18.072410784248 |
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 |
12768bc4 25536cu3 38304o2 89376co2 |
Quadratic twists by: -4 8 -3 -7 |