Atkin-Lehner |
2+ 3+ 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168u |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
506786842017792 = 217 · 36 · 74 · 472 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- 2 -4 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-121345,-16193279] |
[a1,a2,a3,a4,a6] |
Generators |
[-207:112:1] [-200:189:1] |
Generators of the group modulo torsion |
j |
1507589218227458/3866476761 |
j-invariant |
L |
7.108328861619 |
L(r)(E,1)/r! |
Ω |
0.25583545032039 |
Real period |
R |
1.7365480557684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168df2 7896l2 |
Quadratic twists by: -4 8 |