Atkin-Lehner |
3+ 7+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
33033g |
Isogeny class |
Conductor |
33033 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.2319808260517E+19 |
Discriminant |
Eigenvalues |
-1 3+ 0 7+ 11- 13- 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7623063,-8102485830] |
[a1,a2,a3,a4,a6] |
Generators |
[-1600:2070:1] |
Generators of the group modulo torsion |
j |
27653883672870015625/6954210586323 |
j-invariant |
L |
2.9326544148175 |
L(r)(E,1)/r! |
Ω |
0.090860208901419 |
Real period |
R |
2.6897128111012 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99099be2 3003d2 |
Quadratic twists by: -3 -11 |