Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
27360k |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-296321304231360 = -1 · 26 · 39 · 5 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 2 0 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18957,1301996] |
[a1,a2,a3,a4,a6] |
Generators |
[3890:82773:8] |
Generators of the group modulo torsion |
j |
-16148234224576/6351193935 |
j-invariant |
L |
6.7175660296316 |
L(r)(E,1)/r! |
Ω |
0.51321129712147 |
Real period |
R |
6.544639671135 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27360bh1 54720bf2 9120l1 |
Quadratic twists by: -4 8 -3 |