Atkin-Lehner |
2+ 3- 13+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
47658j |
Isogeny class |
Conductor |
47658 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-19817836891253622 = -1 · 2 · 32 · 139 · 473 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -6 13+ 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,66244,-1670056] |
[a1,a2,a3,a4,a6] |
Generators |
[144:-3368:1] |
Generators of the group modulo torsion |
j |
6660589493375/4105784358 |
j-invariant |
L |
4.1978692120144 |
L(r)(E,1)/r! |
Ω |
0.22251370187048 |
Real period |
R |
0.78606942267455 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000043 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3666n2 |
Quadratic twists by: 13 |