Atkin-Lehner |
2- 3+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160v |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
346112 |
Modular degree for the optimal curve |
Δ |
-6151680000 = -1 · 212 · 33 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 0 -2 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-250008,48114832] |
[a1,a2,a3,a4,a6] |
Generators |
[281:225:1] [288:20:1] |
Generators of the group modulo torsion |
j |
-15626500048000512/55625 |
j-invariant |
L |
12.25641120516 |
L(r)(E,1)/r! |
Ω |
0.89577505710062 |
Real period |
R |
1.7103081725391 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999982324 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128160x1 128160d1 |
Quadratic twists by: -4 -3 |