Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
27840bq |
Isogeny class |
Conductor |
27840 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
5345280 = 212 · 32 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 6 -4 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-201,-1161] |
[a1,a2,a3,a4,a6] |
Generators |
[45:288:1] |
Generators of the group modulo torsion |
j |
220348864/1305 |
j-invariant |
L |
6.9417363433656 |
L(r)(E,1)/r! |
Ω |
1.2678723774367 |
Real period |
R |
2.7375532691232 |
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 |
27840p1 13920d1 83520cc1 |
Quadratic twists by: -4 8 -3 |