Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768s |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
4564611072 = 212 · 32 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -6 0 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1905,32481] |
[a1,a2,a3,a4,a6] |
Generators |
[-49:76:1] [-27:252:1] |
Generators of the group modulo torsion |
j |
186756901696/1114407 |
j-invariant |
L |
4.6679658268861 |
L(r)(E,1)/r! |
Ω |
1.3834399528392 |
Real period |
R |
0.28118108880854 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12768y2 25536dj1 38304z2 89376cs2 |
Quadratic twists by: -4 8 -3 -7 |