Atkin-Lehner |
2- 3- 5- 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
52290ci |
Isogeny class |
Conductor |
52290 |
Conductor |
∏ cp |
1024 |
Product of Tamagawa factors cp |
Δ |
221473772100000000 = 28 · 38 · 58 · 72 · 832 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-631292,-191570241] |
[a1,a2,a3,a4,a6] |
Generators |
[-483:941:1] |
Generators of the group modulo torsion |
j |
38166856870016053369/303804900000000 |
j-invariant |
L |
10.854986997826 |
L(r)(E,1)/r! |
Ω |
0.16945348572042 |
Real period |
R |
1.0009187543106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17430b2 |
Quadratic twists by: -3 |