Atkin-Lehner |
2- 3- 5+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
33660d |
Isogeny class |
Conductor |
33660 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
-10121982750000 = -1 · 24 · 39 · 56 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11- 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2748,-162803] |
[a1,a2,a3,a4,a6] |
Generators |
[11012:135135:64] |
Generators of the group modulo torsion |
j |
-196755275776/867796875 |
j-invariant |
L |
5.9938119764787 |
L(r)(E,1)/r! |
Ω |
0.2994677299086 |
Real period |
R |
5.0037210839947 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11220k1 |
Quadratic twists by: -3 |