Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33660d |
Isogeny class |
Conductor |
33660 |
Conductor |
∏ cp |
432 |
Product of Tamagawa factors cp |
Δ |
-7613978558036400 = -1 · 24 · 37 · 52 · 116 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,24252,3938497] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:1287:1] |
Generators of the group modulo torsion |
j |
135244271796224/652775939475 |
j-invariant |
L |
5.9938119764787 |
L(r)(E,1)/r! |
Ω |
0.2994677299086 |
Real period |
R |
1.6679070279982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
11220k3 |
Quadratic twists by: -3 |