Atkin-Lehner |
2+ 3+ 5+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
43800c |
Isogeny class |
Conductor |
43800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
122880 |
Modular degree for the optimal curve |
Δ |
47895300000000 = 28 · 38 · 58 · 73 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 -2 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-12508,-418988] |
[a1,a2,a3,a4,a6] |
Generators |
[-87:56:1] |
Generators of the group modulo torsion |
j |
54108072016/11973825 |
j-invariant |
L |
4.246598170237 |
L(r)(E,1)/r! |
Ω |
0.45856723917748 |
Real period |
R |
4.6302895272854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87600n1 8760h1 |
Quadratic twists by: -4 5 |