Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
14520p |
Isogeny class |
Conductor |
14520 |
Conductor |
∏ cp |
17 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
4000245689088000 = 211 · 317 · 53 · 112 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 11- 3 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-234296,-43623120] |
[a1,a2,a3,a4,a6] |
Generators |
[-281:324:1] |
Generators of the group modulo torsion |
j |
5739907130357378/16142520375 |
j-invariant |
L |
5.7665433184362 |
L(r)(E,1)/r! |
Ω |
0.21703590931605 |
Real period |
R |
1.5629138586569 |
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 |
29040d1 116160bq1 43560ch1 72600cm1 |
Quadratic twists by: -4 8 -3 5 |