Atkin-Lehner |
2- 3- 7+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014s |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
392595522777413928 = 23 · 32 · 74 · 238 · 29 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 4 2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-296807,54425697] |
[a1,a2,a3,a4,a6] |
j |
2891653301319233037553/392595522777413928 |
j-invariant |
L |
6.9320453869884 |
L(r)(E,1)/r! |
Ω |
0.2888352244578 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
84042s3 |
Quadratic twists by: -3 |