Atkin-Lehner |
2+ 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456k |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-3.1256253904451E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1961139,1356818722] |
[a1,a2,a3,a4,a6] |
Generators |
[4970172213101428102:324065204889286113630:12712471275491603] |
Generators of the group modulo torsion |
j |
-1117432648433352388/418706247648357 |
j-invariant |
L |
9.9954317904529 |
L(r)(E,1)/r! |
Ω |
0.16182097966348 |
Real period |
R |
30.88422728751 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999588047 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64728d3 43152k3 |
Quadratic twists by: -4 -3 |