Atkin-Lehner |
2- 3- 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21672n |
Isogeny class |
Conductor |
21672 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
20480 |
Modular degree for the optimal curve |
Δ |
-195653428992 = -1 · 28 · 310 · 7 · 432 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1185,-14366] |
[a1,a2,a3,a4,a6] |
j |
986078000/1048383 |
j-invariant |
L |
2.1787289716329 |
L(r)(E,1)/r! |
Ω |
0.54468224290821 |
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 |
43344f1 7224g1 |
Quadratic twists by: -4 -3 |