Atkin-Lehner |
2- 5+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
48160h |
Isogeny class |
Conductor |
48160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-2429287141400000 = -1 · 26 · 55 · 710 · 43 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ -4 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,33587,100788] |
[a1,a2,a3,a4,a6] |
j |
65472267328709184/37957611584375 |
j-invariant |
L |
0.27541580211302 |
L(r)(E,1)/r! |
Ω |
0.27541580192792 |
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 |
48160c1 96320q1 |
Quadratic twists by: -4 8 |