Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120cb |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-7364466946425600 = -1 · 28 · 310 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,47553,1056814] |
[a1,a2,a3,a4,a6] |
j |
35969456/22275 |
j-invariant |
L |
4.1358194833081 |
L(r)(E,1)/r! |
Ω |
0.25848872459126 |
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 |
43560bc2 29040y2 7920o2 |
Quadratic twists by: -4 -3 -11 |