Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784v |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
18387096998280192 = 210 · 312 · 7 · 136 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-66304,766052] |
[a1,a2,a3,a4,a6] |
Generators |
[-256:1014:1] |
Generators of the group modulo torsion |
j |
6522128932/3720087 |
j-invariant |
L |
6.6083570512305 |
L(r)(E,1)/r! |
Ω |
0.33232940377692 |
Real period |
R |
1.6570800376871 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000012 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392q3 336c4 |
Quadratic twists by: -4 13 |