Atkin-Lehner |
3+ 5+ 11+ 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33165a |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
62332062890625 = 39 · 58 · 112 · 67 |
Discriminant |
Eigenvalues |
1 3+ 5+ 2 11+ 0 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-13515,-467200] |
[a1,a2,a3,a4,a6] |
Generators |
[-330992:1410223:4096] |
Generators of the group modulo torsion |
j |
13870708507683/3166796875 |
j-invariant |
L |
6.6184284531338 |
L(r)(E,1)/r! |
Ω |
0.45004666064747 |
Real period |
R |
7.353046952523 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33165i2 |
Quadratic twists by: -3 |