Atkin-Lehner |
2- 3- 11+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
48906bh |
Isogeny class |
Conductor |
48906 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-50511161481066 = -1 · 2 · 36 · 112 · 133 · 194 |
Discriminant |
Eigenvalues |
2- 3- 1 -3 11+ 13+ -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12542,-636537] |
[a1,a2,a3,a4,a6] |
j |
-299270638153369/69288287354 |
j-invariant |
L |
1.7826522429612 |
L(r)(E,1)/r! |
Ω |
0.22283153051746 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5434g1 |
Quadratic twists by: -3 |