Atkin-Lehner |
2- 5- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
28730bd |
Isogeny class |
Conductor |
28730 |
Conductor |
∏ cp |
135 |
Product of Tamagawa factors cp |
Δ |
183872000000000 = 215 · 59 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 5- -5 -3 13+ 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-15415,-343383] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:-187:1] [-106:373:1] |
Generators of the group modulo torsion |
j |
2397007293813769/1088000000000 |
j-invariant |
L |
8.1548065424703 |
L(r)(E,1)/r! |
Ω |
0.4472071232898 |
Real period |
R |
0.13507381980928 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
28730h2 |
Quadratic twists by: 13 |