Atkin-Lehner |
2+ 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168n |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-115272108362170368 = -1 · 220 · 32 · 76 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,94527,11872449] |
[a1,a2,a3,a4,a6] |
j |
356325432167375/439728196572 |
j-invariant |
L |
2.6736428146086 |
L(r)(E,1)/r! |
Ω |
0.22280356775061 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168cw3 1974l3 |
Quadratic twists by: -4 8 |