Atkin-Lehner |
2- 3+ 7- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
47124f |
Isogeny class |
Conductor |
47124 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1310513350608 = 24 · 39 · 7 · 112 · 173 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11- -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-309420,-66247659] |
[a1,a2,a3,a4,a6] |
j |
10402975660032000/4161311 |
j-invariant |
L |
1.8218179597642 |
L(r)(E,1)/r! |
Ω |
0.20242421774725 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
47124d1 |
Quadratic twists by: -3 |