Atkin-Lehner |
2- 3- 7- 47- |
Signs for the Atkin-Lehner involutions |
Class |
63168dp |
Isogeny class |
Conductor |
63168 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
786432 |
Modular degree for the optimal curve |
Δ |
-259587531312463872 = -1 · 234 · 38 · 72 · 47 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-439297,-114865153] |
[a1,a2,a3,a4,a6] |
Generators |
[769:1632:1] |
Generators of the group modulo torsion |
j |
-35765103905346817/990247845888 |
j-invariant |
L |
9.4167371175824 |
L(r)(E,1)/r! |
Ω |
0.092570107073796 |
Real period |
R |
6.3578415155557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999268 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63168b1 15792x1 |
Quadratic twists by: -4 8 |