Atkin-Lehner |
2+ 3+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
63168g |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
-244237604038848 = -1 · 26 · 37 · 75 · 473 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7+ -1 2 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8265,808371] |
[a1,a2,a3,a4,a6] |
Generators |
[278:4463:1] |
Generators of the group modulo torsion |
j |
-975719213461504/3816212563107 |
j-invariant |
L |
2.8077319500247 |
L(r)(E,1)/r! |
Ω |
0.48485963472993 |
Real period |
R |
5.7908139779232 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999996436 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63168ds1 987d1 |
Quadratic twists by: -4 8 |