Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
47040en |
Isogeny class |
Conductor |
47040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-10885957855395840 = -1 · 214 · 318 · 5 · 73 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 4 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-182961,-30476655] |
[a1,a2,a3,a4,a6] |
Generators |
[787825956840:-512609943850705:1860867] |
Generators of the group modulo torsion |
j |
-120527903507632/1937102445 |
j-invariant |
L |
5.2075948704209 |
L(r)(E,1)/r! |
Ω |
0.11530951152295 |
Real period |
R |
22.580942376943 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47040cp2 11760bi2 47040hb2 |
Quadratic twists by: -4 8 -7 |