Atkin-Lehner |
3- 7+ 17- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16779h |
Isogeny class |
Conductor |
16779 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
238978003726000791 = 32 · 716 · 17 · 47 |
Discriminant |
Eigenvalues |
-1 3- 2 7+ 0 6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-158452,-6028375] |
[a1,a2,a3,a4,a6] |
Generators |
[1475428140606316:-101171264457130193:316099579328] |
Generators of the group modulo torsion |
j |
439963916337345943873/238978003726000791 |
j-invariant |
L |
4.5451807890503 |
L(r)(E,1)/r! |
Ω |
0.25521513185951 |
Real period |
R |
17.809213567918 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
50337j3 117453h3 |
Quadratic twists by: -3 -7 |