Atkin-Lehner |
2- 3- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014y |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
384000 |
Modular degree for the optimal curve |
Δ |
-592689730157543424 = -1 · 220 · 3 · 710 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- -1 7- -3 1 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-354381,89219217] |
[a1,a2,a3,a4,a6] |
Generators |
[2:9407:1] |
Generators of the group modulo torsion |
j |
-4921925963128800767569/592689730157543424 |
j-invariant |
L |
9.5416983244417 |
L(r)(E,1)/r! |
Ω |
0.28174114575691 |
Real period |
R |
0.16933448429777 |
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 |
84042u1 |
Quadratic twists by: -3 |