Atkin-Lehner |
2- 3- 5+ 7- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
89040cj |
Isogeny class |
Conductor |
89040 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
237493368184504320 = 217 · 38 · 5 · 7 · 534 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-171416,-14072940] |
[a1,a2,a3,a4,a6] |
j |
135994194032980249/57981779341920 |
j-invariant |
L |
3.9009457156829 |
L(r)(E,1)/r! |
Ω |
0.24380910926986 |
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 |
11130b4 |
Quadratic twists by: -4 |