Atkin-Lehner |
2+ 3+ 5+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
129360h |
Isogeny class |
Conductor |
129360 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
76077979971840000 = 211 · 38 · 54 · 77 · 11 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11+ 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100614656,-388420808544] |
[a1,a2,a3,a4,a6] |
j |
467508233804095622882/315748125 |
j-invariant |
L |
0.76270125676159 |
L(r)(E,1)/r! |
Ω |
0.047668802568195 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64680cu6 18480z5 |
Quadratic twists by: -4 -7 |