Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360ff |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5.9759465514587E+27 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2344739000,43543071296880] |
[a1,a2,a3,a4,a6] |
j |
2958414657792917260183849/12401051653985258880 |
j-invariant |
L |
0.34205050861678 |
L(r)(E,1)/r! |
Ω |
0.042756299911273 |
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 |
16170bh3 18480cr3 |
Quadratic twists by: -4 -7 |