Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53550el |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2092190132812500 = 22 · 38 · 59 · 74 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 4 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-404555,99117447] |
[a1,a2,a3,a4,a6] |
Generators |
[-481:13740:1] |
Generators of the group modulo torsion |
j |
5142778950581/1469412 |
j-invariant |
L |
8.7424385310484 |
L(r)(E,1)/r! |
Ω |
0.45398267220685 |
Real period |
R |
2.4071509405317 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999379 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850j2 53550cj2 |
Quadratic twists by: -3 5 |