Atkin-Lehner |
3+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33165i |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
85503515625 = 33 · 58 · 112 · 67 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 11- 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1502,17804] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:156:1] |
Generators of the group modulo torsion |
j |
13870708507683/3166796875 |
j-invariant |
L |
4.1811799932999 |
L(r)(E,1)/r! |
Ω |
1.0151900563771 |
Real period |
R |
0.51482724429714 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33165a2 |
Quadratic twists by: -3 |