Atkin-Lehner |
2+ 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168i |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
4806526966072344576 = 218 · 35 · 7 · 476 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 2 -4 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-442177,41158465] |
[a1,a2,a3,a4,a6] |
j |
36473145476813137/18335445274629 |
j-invariant |
L |
2.5868501189303 |
L(r)(E,1)/r! |
Ω |
0.21557084267455 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168di2 987e2 |
Quadratic twists by: -4 8 |