Atkin-Lehner |
2- 3- 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
27360bh |
Isogeny class |
Conductor |
27360 |
Conductor |
∏ cp |
48 |
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 |
[335:5472:1] |
Generators of the group modulo torsion |
j |
-16148234224576/6351193935 |
j-invariant |
L |
5.121883387034 |
L(r)(E,1)/r! |
Ω |
0.19955476655247 |
Real period |
R |
2.1388795815806 |
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 |
27360k1 54720u2 9120i1 |
Quadratic twists by: -4 8 -3 |