Atkin-Lehner |
2+ 3- 13- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
18408f |
Isogeny class |
Conductor |
18408 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-21206016 = -1 · 210 · 33 · 13 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -3 0 3 13- 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8,224] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:12:1] |
Generators of the group modulo torsion |
j |
48668/20709 |
j-invariant |
L |
5.1407985599557 |
L(r)(E,1)/r! |
Ω |
1.6733739899505 |
Real period |
R |
0.51201928865764 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36816b1 55224t1 |
Quadratic twists by: -4 -3 |