Atkin-Lehner |
2- 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168cn |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-3930293700329472 = -1 · 216 · 312 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-43617,4639617] |
[a1,a2,a3,a4,a6] |
Generators |
[101:1120:1] |
Generators of the group modulo torsion |
j |
-140030007564388/59971522527 |
j-invariant |
L |
6.9954322979485 |
L(r)(E,1)/r! |
Ω |
0.41262329037653 |
Real period |
R |
2.1191945720373 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997879 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bd3 15792l4 |
Quadratic twists by: -4 8 |