Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
128160l |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
-1009029312000000 = -1 · 212 · 311 · 56 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -2 4 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8328,1556048] |
[a1,a2,a3,a4,a6] |
Generators |
[49:1125:1] |
Generators of the group modulo torsion |
j |
-21392344576/337921875 |
j-invariant |
L |
5.6148811655238 |
L(r)(E,1)/r! |
Ω |
0.41689501690204 |
Real period |
R |
1.6835417430289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997474589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128160bd1 42720g1 |
Quadratic twists by: -4 -3 |