Atkin-Lehner |
2- 3- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
40368bg |
Isogeny class |
Conductor |
40368 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1.0339300965586E+19 |
Discriminant |
Eigenvalues |
2- 3- 2 0 -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-666352,-141289900] |
[a1,a2,a3,a4,a6] |
Generators |
[-1626412568299220:-11144109398536002:6907850516125] |
Generators of the group modulo torsion |
j |
13430356633/4243686 |
j-invariant |
L |
8.7638719195246 |
L(r)(E,1)/r! |
Ω |
0.17125639058014 |
Real period |
R |
25.586992373934 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5046h4 121104ca3 1392h3 |
Quadratic twists by: -4 -3 29 |