Atkin-Lehner |
3+ 5- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
33165i |
Isogeny class |
Conductor |
33165 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
833270625 = 33 · 54 · 11 · 672 |
Discriminant |
Eigenvalues |
-1 3+ 5- 2 11- 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-497,-3904] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:19:1] |
Generators of the group modulo torsion |
j |
501891267123/30861875 |
j-invariant |
L |
4.1811799932999 |
L(r)(E,1)/r! |
Ω |
1.0151900563771 |
Real period |
R |
1.0296544885943 |
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 |
33165a1 |
Quadratic twists by: -3 |