Atkin-Lehner |
2- 3- 73- |
Signs for the Atkin-Lehner involutions |
Class |
21024p |
Isogeny class |
Conductor |
21024 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
275876928 = 26 · 310 · 73 |
Discriminant |
Eigenvalues |
2- 3- 2 -2 -2 2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-849,-9488] |
[a1,a2,a3,a4,a6] |
j |
1450571968/5913 |
j-invariant |
L |
1.769331145303 |
L(r)(E,1)/r! |
Ω |
0.88466557265148 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
21024o1 42048cj2 7008g1 |
Quadratic twists by: -4 8 -3 |