Atkin-Lehner |
2- 5+ 13- 31- |
Signs for the Atkin-Lehner involutions |
Class |
128960bb |
Isogeny class |
Conductor |
128960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
188416 |
Modular degree for the optimal curve |
Δ |
-33529600000000 = -1 · 214 · 58 · 132 · 31 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 0 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3652,265328] |
[a1,a2,a3,a4,a6] |
j |
328772950704/2046484375 |
j-invariant |
L |
1.8991100307564 |
L(r)(E,1)/r! |
Ω |
0.47477747791816 |
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 |
128960e1 32240e1 |
Quadratic twists by: -4 8 |