Atkin-Lehner |
3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
56265p |
Isogeny class |
Conductor |
56265 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-227650717529296875 = -1 · 36 · 512 · 113 · 312 |
Discriminant |
Eigenvalues |
-1 3- 5+ 2 11+ 0 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-40301,-23169420] |
[a1,a2,a3,a4,a6] |
j |
-5438683646364779/171037353515625 |
j-invariant |
L |
1.6402112040679 |
L(r)(E,1)/r! |
Ω |
0.13668426683089 |
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 |
56265n2 |
Quadratic twists by: -11 |