Atkin-Lehner |
2+ 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768c |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-520506594574848 = -1 · 29 · 32 · 74 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 4 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,18752,-483800] |
[a1,a2,a3,a4,a6] |
j |
1424207846251000/1016614442529 |
j-invariant |
L |
1.761333713478 |
L(r)(E,1)/r! |
Ω |
0.29355561891299 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12768bb2 25536y2 38304bk2 89376q2 |
Quadratic twists by: -4 8 -3 -7 |