Atkin-Lehner |
2+ 3- 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
89040t |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
-7512750000000000 = -1 · 210 · 34 · 512 · 7 · 53 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-38960,5100900] |
[a1,a2,a3,a4,a6] |
j |
-6386923983303364/7336669921875 |
j-invariant |
L |
4.540666629265 |
L(r)(E,1)/r! |
Ω |
0.37838888407437 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44520f3 |
Quadratic twists by: -4 |