Atkin-Lehner |
2+ 3+ 7- 43- |
Signs for the Atkin-Lehner involutions |
Class |
12642k |
Isogeny class |
Conductor |
12642 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
54393368064 = 29 · 3 · 77 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 0 -5 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-6496249,6370267429] |
[a1,a2,a3,a4,a6] |
Generators |
[11766:-5687:8] |
Generators of the group modulo torsion |
j |
257705427598877502217/462336 |
j-invariant |
L |
1.9041764872537 |
L(r)(E,1)/r! |
Ω |
0.51103284602844 |
Real period |
R |
1.8630666326561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101136cr3 37926bz3 1806g3 |
Quadratic twists by: -4 -3 -7 |