Atkin-Lehner |
2+ 3+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
8664b |
Isogeny class |
Conductor |
8664 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
54720 |
Modular degree for the optimal curve |
Δ |
-1056513489654528 = -1 · 28 · 35 · 198 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -5 -4 5 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16004,-1741932] |
[a1,a2,a3,a4,a6] |
Generators |
[241:2888:1] |
Generators of the group modulo torsion |
j |
-104272/243 |
j-invariant |
L |
2.226183388563 |
L(r)(E,1)/r! |
Ω |
0.19824191545995 |
Real period |
R |
1.8716050230833 |
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 |
17328j1 69312bg1 25992w1 8664n1 |
Quadratic twists by: -4 8 -3 -19 |