Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
123840ck |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1504656000000000000 = 216 · 37 · 512 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 0 2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-286572,1887536] |
[a1,a2,a3,a4,a6] |
Generators |
[782:16000:1] |
Generators of the group modulo torsion |
j |
54477543627364/31494140625 |
j-invariant |
L |
8.520011825654 |
L(r)(E,1)/r! |
Ω |
0.22762637367997 |
Real period |
R |
1.5595753886564 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000071414 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840gf4 15480d3 41280a4 |
Quadratic twists by: -4 8 -3 |