Atkin-Lehner |
3- 5+ 29+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
128325n |
Isogeny class |
Conductor |
128325 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
68141326904296875 = 32 · 516 · 292 · 59 |
Discriminant |
Eigenvalues |
1 3- 5+ 2 0 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-118001,-9266227] |
[a1,a2,a3,a4,a6] |
j |
11629350465396481/4361044921875 |
j-invariant |
L |
4.2525768518971 |
L(r)(E,1)/r! |
Ω |
0.265786137237 |
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 |
25665d2 |
Quadratic twists by: 5 |