Atkin-Lehner |
2+ 3- 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
27234c |
Isogeny class |
Conductor |
27234 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
36000 |
Modular degree for the optimal curve |
Δ |
-2947895744544 = -1 · 25 · 36 · 175 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 -2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3105,48109] |
[a1,a2,a3,a4,a6] |
Generators |
[-18:1631:8] |
Generators of the group modulo torsion |
j |
4540485764879/4043752736 |
j-invariant |
L |
2.9056415889297 |
L(r)(E,1)/r! |
Ω |
0.52302804385876 |
Real period |
R |
5.5554221672182 |
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 |
3026d1 |
Quadratic twists by: -3 |