Atkin-Lehner |
2- 3- 29+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
129456bf |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
785637866815488 = 214 · 37 · 294 · 31 |
Discriminant |
Eigenvalues |
2- 3- 2 0 4 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-288219,-59541622] |
[a1,a2,a3,a4,a6] |
Generators |
[2195510849:-71025755130:1685159] |
Generators of the group modulo torsion |
j |
886755839141017/263108532 |
j-invariant |
L |
9.7132156336539 |
L(r)(E,1)/r! |
Ω |
0.20605190589444 |
Real period |
R |
11.78491350413 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000082717 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
16182m3 43152x4 |
Quadratic twists by: -4 -3 |