Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168c |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
573060096 = 210 · 35 · 72 · 47 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 -4 -4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15237,-718875] |
[a1,a2,a3,a4,a6] |
Generators |
[-2835752850:-28499165:40001688] |
Generators of the group modulo torsion |
j |
382076793536512/559629 |
j-invariant |
L |
5.7303431097817 |
L(r)(E,1)/r! |
Ω |
0.42970692311367 |
Real period |
R |
13.335468433764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001447 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168dq1 3948b1 |
Quadratic twists by: -4 8 |