Atkin-Lehner |
2- 3- 7- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
28014x |
Isogeny class |
Conductor |
28014 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
69476344812 = 22 · 312 · 72 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 -2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-14123,644709] |
[a1,a2,a3,a4,a6] |
Generators |
[-74:1171:1] |
Generators of the group modulo torsion |
j |
311534760415992625/69476344812 |
j-invariant |
L |
10.406898708703 |
L(r)(E,1)/r! |
Ω |
1.0675426805856 |
Real period |
R |
0.81237179068368 |
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 |
84042t2 |
Quadratic twists by: -3 |