Atkin-Lehner |
2+ 5+ 13- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960f |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
31232 |
Modular degree for the optimal curve |
Δ |
283325120 = 26 · 5 · 134 · 31 |
Discriminant |
Eigenvalues |
2+ 0 5+ 0 4 13- -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-263,1428] |
[a1,a2,a3,a4,a6] |
j |
31434820416/4426955 |
j-invariant |
L |
1.6668686845305 |
L(r)(E,1)/r! |
Ω |
1.6668680051036 |
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 |
128960j1 64480e3 |
Quadratic twists by: -4 8 |