Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dq |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
20 |
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 |
[75:60:1] |
Generators of the group modulo torsion |
j |
382076793536512/559629 |
j-invariant |
L |
8.6384383845147 |
L(r)(E,1)/r! |
Ω |
1.3911624766688 |
Real period |
R |
1.2419021544439 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.999999999969 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168c1 15792y1 |
Quadratic twists by: -4 8 |