Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12768u |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
611192107008 = 212 · 310 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6193,181727] |
[a1,a2,a3,a4,a6] |
Generators |
[23:228:1] |
Generators of the group modulo torsion |
j |
6414120712000/149216823 |
j-invariant |
L |
5.9323040857143 |
L(r)(E,1)/r! |
Ω |
0.9135787377223 |
Real period |
R |
0.32467393563167 |
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 |
12768o2 25536bv1 38304h2 89376br2 |
Quadratic twists by: -4 8 -3 -7 |