Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840gf |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
192 |
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 |
[-382:7200:1] |
Generators of the group modulo torsion |
j |
54477543627364/31494140625 |
j-invariant |
L |
8.1381743742034 |
L(r)(E,1)/r! |
Ω |
0.22571421754086 |
Real period |
R |
0.75115027869241 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840ck4 30960c4 41280cy4 |
Quadratic twists by: -4 8 -3 |