Atkin-Lehner |
2- 3+ 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400bb |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
59364347904000000 = 218 · 38 · 56 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 0 -2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-104808,5792112] |
[a1,a2,a3,a4,a6] |
j |
1989441544033/927567936 |
j-invariant |
L |
1.2564938423263 |
L(r)(E,1)/r! |
Ω |
0.31412346061881 |
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 |
7050h2 2256p2 |
Quadratic twists by: -4 5 |