Atkin-Lehner |
2- 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168bv |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1520074752 = 215 · 3 · 7 · 472 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-833,9345] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:47:1] [24:51:1] |
Generators of the group modulo torsion |
j |
1953125000/46389 |
j-invariant |
L |
8.3575280064938 |
L(r)(E,1)/r! |
Ω |
1.5054766015119 |
Real period |
R |
5.5514167394694 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999776 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168dn2 31584t2 |
Quadratic twists by: -4 8 |