Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
12768p |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
3327601471488 = 212 · 38 · 73 · 192 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-660497,-206391423] |
[a1,a2,a3,a4,a6] |
j |
7779952936541447488/812402703 |
j-invariant |
L |
2.0096157987459 |
L(r)(E,1)/r! |
Ω |
0.16746798322883 |
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 |
12768v3 25536dg1 38304x4 89376cp4 |
Quadratic twists by: -4 8 -3 -7 |