Atkin-Lehner |
2- 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28158n |
Isogeny class |
Conductor |
28158 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
-24131619355643904 = -1 · 212 · 3 · 133 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 3 -1 0 13+ -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1128674,461121263] |
[a1,a2,a3,a4,a6] |
Generators |
[473:5539:1] |
Generators of the group modulo torsion |
j |
-3379929898439017/512937984 |
j-invariant |
L |
8.3965910128847 |
L(r)(E,1)/r! |
Ω |
0.36601854643616 |
Real period |
R |
0.95584762651151 |
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 |
84474r2 1482f2 |
Quadratic twists by: -3 -19 |