Atkin-Lehner |
2+ 3- 5- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550ce |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1.4755745779898E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3273732,1335805776] |
[a1,a2,a3,a4,a6] |
Generators |
[249:23028:1] |
Generators of the group modulo torsion |
j |
42580976430133829141/16192862309901312 |
j-invariant |
L |
3.9982141337457 |
L(r)(E,1)/r! |
Ω |
0.13790706439098 |
Real period |
R |
3.6240113508499 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850cg2 53550ep2 |
Quadratic twists by: -3 5 |