Atkin-Lehner |
2+ 3- 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168bd |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
1292823576576 = 214 · 36 · 72 · 472 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ 0 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-47377,-3984625] |
[a1,a2,a3,a4,a6] |
Generators |
[451:8160:1] |
Generators of the group modulo torsion |
j |
717820092230992/78907689 |
j-invariant |
L |
9.6527815784791 |
L(r)(E,1)/r! |
Ω |
0.32360093381757 |
Real period |
R |
4.9715460052008 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996676 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
63168cn2 7896e2 |
Quadratic twists by: -4 8 |