Atkin-Lehner |
2+ 5+ 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320l |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
405288569504000000 = 211 · 56 · 78 · 133 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7- -4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3197543496,69593095383280] |
[a1,a2,a3,a4,a6] |
Generators |
[881517:15092:27] |
Generators of the group modulo torsion |
j |
803550333470755251060766154/90075015625 |
j-invariant |
L |
3.048322657831 |
L(r)(E,1)/r! |
Ω |
0.11735539955405 |
Real period |
R |
3.2468922067408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
94640g2 47320bc2 |
Quadratic twists by: -4 13 |