Atkin-Lehner |
2+ 7+ 19+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87248b |
Isogeny class |
Conductor |
87248 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
54784 |
Modular degree for the optimal curve |
Δ |
212187136 = 211 · 7 · 192 · 41 |
Discriminant |
Eigenvalues |
2+ 1 3 7+ -6 6 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1104,-14476] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:2:1] |
Generators of the group modulo torsion |
j |
72726770594/103607 |
j-invariant |
L |
9.1759562080858 |
L(r)(E,1)/r! |
Ω |
0.82825042007759 |
Real period |
R |
1.3848402568079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013681 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43624i1 |
Quadratic twists by: -4 |