Atkin-Lehner |
2+ 3+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
28158d |
Isogeny class |
Conductor |
28158 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
129600 |
Modular degree for the optimal curve |
Δ |
-5647481647002 = -1 · 2 · 35 · 13 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 4 -3 1 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-27443,1742175] |
[a1,a2,a3,a4,a6] |
j |
-48587168449/120042 |
j-invariant |
L |
1.5243967372847 |
L(r)(E,1)/r! |
Ω |
0.76219836864211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
84474cc1 1482k1 |
Quadratic twists by: -3 -19 |