Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168b |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
86935339008 = 222 · 32 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-113197057,463592251393] |
[a1,a2,a3,a4,a6] |
Generators |
[10561:667776:1] |
Generators of the group modulo torsion |
j |
611912326006384490336257/331632 |
j-invariant |
L |
6.537300195974 |
L(r)(E,1)/r! |
Ω |
0.30982811390362 |
Real period |
R |
5.2749410904542 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168dp4 1974i4 |
Quadratic twists by: -4 8 |