Atkin-Lehner |
2- 3- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
21672h |
Isogeny class |
Conductor |
21672 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-50724963072 = -1 · 28 · 37 · 72 · 432 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 0 2 8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-759,13498] |
[a1,a2,a3,a4,a6] |
Generators |
[9:86:1] |
Generators of the group modulo torsion |
j |
-259108432/271803 |
j-invariant |
L |
6.1603012230602 |
L(r)(E,1)/r! |
Ω |
1.0235811954637 |
Real period |
R |
0.75229757667998 |
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 |
43344m2 7224b2 |
Quadratic twists by: -4 -3 |