Atkin-Lehner |
2- 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
64080z |
Isogeny class |
Conductor |
64080 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.2020223283182E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19041843,-31938909838] |
[a1,a2,a3,a4,a6] |
j |
255719105183305589041/402554845678410 |
j-invariant |
L |
0.86735045983601 |
L(r)(E,1)/r! |
Ω |
0.072279205609221 |
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 |
8010d4 21360i4 |
Quadratic twists by: -4 -3 |