Atkin-Lehner |
2- 3- 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
54288bf |
Isogeny class |
Conductor |
54288 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
1147702608 = 24 · 38 · 13 · 292 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-264,263] |
[a1,a2,a3,a4,a6] |
Generators |
[49:324:1] |
Generators of the group modulo torsion |
j |
174456832/98397 |
j-invariant |
L |
6.3114522111553 |
L(r)(E,1)/r! |
Ω |
1.330892596546 |
Real period |
R |
2.3711350666182 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000015 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
13572a1 18096s1 |
Quadratic twists by: -4 -3 |