Atkin-Lehner |
29- 31- |
Signs for the Atkin-Lehner involutions |
Class |
27869h |
Isogeny class |
Conductor |
27869 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1374912 |
Modular degree for the optimal curve |
Δ |
-644835944876605019 = -1 · 293 · 319 |
Discriminant |
Eigenvalues |
-2 3 2 1 3 -6 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1459759,679942336] |
[a1,a2,a3,a4,a6] |
Generators |
[1118604:4318831:1728] |
Generators of the group modulo torsion |
j |
-13011038208/24389 |
j-invariant |
L |
6.0150127998324 |
L(r)(E,1)/r! |
Ω |
0.28826923649229 |
Real period |
R |
3.4776590991949 |
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 |
27869d1 |
Quadratic twists by: -31 |