Atkin-Lehner |
2- 5+ 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
128960w |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
301056 |
Modular degree for the optimal curve |
Δ |
-562533341593600 = -1 · 232 · 52 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 -2 13+ 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6668,1160208] |
[a1,a2,a3,a4,a6] |
j |
-125075015001/2145894400 |
j-invariant |
L |
1.7480095967765 |
L(r)(E,1)/r! |
Ω |
0.43700225607902 |
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 |
128960b1 32240n1 |
Quadratic twists by: -4 8 |