Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
47376bo |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
3829712811982848 = 222 · 310 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5503755,-4969774406] |
[a1,a2,a3,a4,a6] |
Generators |
[878692315:-166422634182:24389] |
Generators of the group modulo torsion |
j |
6174666627902151625/1282563072 |
j-invariant |
L |
5.6669284879107 |
L(r)(E,1)/r! |
Ω |
0.098567737241139 |
Real period |
R |
14.37318296666 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5922m2 15792bd2 |
Quadratic twists by: -4 -3 |