Atkin-Lehner |
2- 3- 7- 37- |
Signs for the Atkin-Lehner involutions |
Class |
21756r |
Isogeny class |
Conductor |
21756 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
1893650083299072 = 28 · 38 · 77 · 372 |
Discriminant |
Eigenvalues |
2- 3- -4 7- 0 -4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-50780,3858084] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:2646:1] |
Generators of the group modulo torsion |
j |
480819584464/62874063 |
j-invariant |
L |
4.1991245487469 |
L(r)(E,1)/r! |
Ω |
0.45108616612969 |
Real period |
R |
0.19393581094011 |
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 |
87024cy2 65268u2 3108d2 |
Quadratic twists by: -4 -3 -7 |