Atkin-Lehner |
2+ 3+ 5+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87600i |
Isogeny class |
Conductor |
87600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2877660000000000 = -1 · 211 · 33 · 510 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 4 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13592,2503312] |
[a1,a2,a3,a4,a6] |
j |
8677445182/89926875 |
j-invariant |
L |
2.6606991220826 |
L(r)(E,1)/r! |
Ω |
0.33258739150032 |
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 |
43800r2 17520e2 |
Quadratic twists by: -4 5 |