Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53550z |
Isogeny class |
Conductor |
53550 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
104567662837968750 = 2 · 39 · 57 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 6 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-296667,-60143009] |
[a1,a2,a3,a4,a6] |
j |
253503932606569/9180151470 |
j-invariant |
L |
1.6401674866543 |
L(r)(E,1)/r! |
Ω |
0.20502093592086 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17850bi2 10710bn2 |
Quadratic twists by: -3 5 |