Atkin-Lehner |
2+ 3- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856m |
Isogeny class |
Conductor |
53856 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7524924903936 = 29 · 310 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4899,-70] |
[a1,a2,a3,a4,a6] |
Generators |
[1258:44550:1] |
Generators of the group modulo torsion |
j |
34837625096/20160657 |
j-invariant |
L |
7.9389430591065 |
L(r)(E,1)/r! |
Ω |
0.62677978235611 |
Real period |
R |
3.1665599635632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999843 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53856f3 107712dn3 17952k2 |
Quadratic twists by: -4 8 -3 |