Atkin-Lehner |
2- 3- 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
12768u |
Isogeny class |
Conductor |
12768 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
10240 |
Modular degree for the optimal curve |
Δ |
14478912 = 26 · 35 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 2 4 8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6158,183960] |
[a1,a2,a3,a4,a6] |
Generators |
[46:12:1] |
Generators of the group modulo torsion |
j |
403583419000000/226233 |
j-invariant |
L |
5.9323040857143 |
L(r)(E,1)/r! |
Ω |
1.8271574754446 |
Real period |
R |
0.64934787126334 |
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 |
12768o1 25536bv2 38304h1 89376br1 |
Quadratic twists by: -4 8 -3 -7 |