Atkin-Lehner |
2- 3- 5+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
61320w |
Isogeny class |
Conductor |
61320 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.6360462004721E+19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1973216,1048309920] |
[a1,a2,a3,a4,a6] |
j |
414875572657613032898/7988506838242875 |
j-invariant |
L |
2.641032301614 |
L(r)(E,1)/r! |
Ω |
0.22008602558035 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122640b3 |
Quadratic twists by: -4 |