Atkin-Lehner |
2+ 3- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
21672d |
Isogeny class |
Conductor |
21672 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
18432 |
Modular degree for the optimal curve |
Δ |
-21739269888 = -1 · 28 · 38 · 7 · 432 |
Discriminant |
Eigenvalues |
2+ 3- -4 7+ 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-327,7450] |
[a1,a2,a3,a4,a6] |
Generators |
[11:72:1] |
Generators of the group modulo torsion |
j |
-20720464/116487 |
j-invariant |
L |
3.3511506090782 |
L(r)(E,1)/r! |
Ω |
1.0446612298662 |
Real period |
R |
1.6039413128731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43344l1 7224i1 |
Quadratic twists by: -4 -3 |