Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168d |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
-1834556387328 = -1 · 212 · 34 · 76 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 0 -2 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8169,-288855] |
[a1,a2,a3,a4,a6] |
Generators |
[177:1944:1] |
Generators of the group modulo torsion |
j |
-14720535704512/447889743 |
j-invariant |
L |
3.304335442152 |
L(r)(E,1)/r! |
Ω |
0.25063684307559 |
Real period |
R |
3.2959394574443 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994662 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168bp1 31584u1 |
Quadratic twists by: -4 8 |