Atkin-Lehner |
2+ 3- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
53856f |
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] |
j |
34837625096/20160657 |
j-invariant |
L |
2.5074699619236 |
L(r)(E,1)/r! |
Ω |
0.6268674903084 |
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 |
53856m3 107712ep3 17952t3 |
Quadratic twists by: -4 8 -3 |