Atkin-Lehner |
2+ 3- 5- 31- 43- |
Signs for the Atkin-Lehner involutions |
Class |
39990i |
Isogeny class |
Conductor |
39990 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
541540740960000 = 28 · 310 · 54 · 31 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 -2 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-47768,-3863194] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:427:1] |
Generators of the group modulo torsion |
j |
12053739936930979321/541540740960000 |
j-invariant |
L |
6.2774433091842 |
L(r)(E,1)/r! |
Ω |
0.32383357206542 |
Real period |
R |
0.48461955852401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119970bv2 |
Quadratic twists by: -3 |