Atkin-Lehner |
2+ 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168bp |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
96 |
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 |
[-102:267:1] [-21:672:1] |
Generators of the group modulo torsion |
j |
-14720535704512/447889743 |
j-invariant |
L |
11.05520671081 |
L(r)(E,1)/r! |
Ω |
0.83150242576167 |
Real period |
R |
0.55397747340105 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168d1 31584g1 |
Quadratic twists by: -4 8 |