Atkin-Lehner |
2+ 3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bo |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
Δ |
445797202120704 = 212 · 39 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4934329,-4220458009] |
[a1,a2,a3,a4,a6] |
Generators |
[4205:222264:1] |
Generators of the group modulo torsion |
j |
3243755870996270894272/108837207549 |
j-invariant |
L |
6.993141980452 |
L(r)(E,1)/r! |
Ω |
0.10129605277935 |
Real period |
R |
2.5569136351921 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997141 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168k2 31584e1 |
Quadratic twists by: -4 8 |