Atkin-Lehner |
2- 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bx |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
5131216775430144 = 214 · 310 · 74 · 472 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 4 2 -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-66449,-5598351] |
[a1,a2,a3,a4,a6] |
j |
1980503696308048/313184617641 |
j-invariant |
L |
0.60105726724484 |
L(r)(E,1)/r! |
Ω |
0.30052863431823 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63168bs2 15792f2 |
Quadratic twists by: -4 8 |