Atkin-Lehner |
2- 3+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
23184x |
Isogeny class |
Conductor |
23184 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3385593107866368 = 28 · 39 · 74 · 234 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 0 2 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-340983,-76587390] |
[a1,a2,a3,a4,a6] |
j |
870143011569648/671898241 |
j-invariant |
L |
3.5563869562761 |
L(r)(E,1)/r! |
Ω |
0.19757705312645 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5796d2 92736cz2 23184bc2 |
Quadratic twists by: -4 8 -3 |