Atkin-Lehner |
2- 3+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
48144l |
Isogeny class |
Conductor |
48144 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
3.2008911497065E+24 |
Discriminant |
Eigenvalues |
2- 3+ 2 4 -4 -2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1164786352,-15300288879680] |
[a1,a2,a3,a4,a6] |
j |
42668029277752108709168358193/781467565846322235456 |
j-invariant |
L |
2.5842734369647 |
L(r)(E,1)/r! |
Ω |
0.025842734367536 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6018k2 |
Quadratic twists by: -4 |