Atkin-Lehner |
2- 3- 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
47376z |
Isogeny class |
Conductor |
47376 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1313021359312846848 = -1 · 214 · 38 · 76 · 473 |
Discriminant |
Eigenvalues |
2- 3- 0 7+ 0 2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,212685,40175858] |
[a1,a2,a3,a4,a6] |
Generators |
[-113:3834:1] |
Generators of the group modulo torsion |
j |
356325432167375/439728196572 |
j-invariant |
L |
5.7863593945604 |
L(r)(E,1)/r! |
Ω |
0.18191835128687 |
Real period |
R |
3.9759316154715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000057 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5922i3 15792n3 |
Quadratic twists by: -4 -3 |