Atkin-Lehner |
2- 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550dk |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-568848085838550 = -1 · 2 · 39 · 52 · 76 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-57605,5458227] |
[a1,a2,a3,a4,a6] |
Generators |
[2614:35733:8] |
Generators of the group modulo torsion |
j |
-1159924308480625/31212514998 |
j-invariant |
L |
9.5680864746021 |
L(r)(E,1)/r! |
Ω |
0.5162604551861 |
Real period |
R |
2.31668104211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17850c2 53550ck2 |
Quadratic twists by: -3 5 |