Atkin-Lehner |
2+ 3- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68208t |
Isogeny class |
Conductor |
68208 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
-56621598711552 = -1 · 28 · 33 · 710 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,9588,-19188] |
[a1,a2,a3,a4,a6] |
Generators |
[27:510:1] |
Generators of the group modulo torsion |
j |
3236192048/1879983 |
j-invariant |
L |
8.8797565831865 |
L(r)(E,1)/r! |
Ω |
0.37158146954529 |
Real period |
R |
3.9828666168356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
34104d1 9744a1 |
Quadratic twists by: -4 -7 |