Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
33660k |
Isogeny class |
Conductor |
33660 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-34039307808000 = -1 · 28 · 39 · 53 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 11- 5 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1833,-279074] |
[a1,a2,a3,a4,a6] |
Generators |
[62:270:1] |
Generators of the group modulo torsion |
j |
3649586096/182395125 |
j-invariant |
L |
6.460938787827 |
L(r)(E,1)/r! |
Ω |
0.31335012910163 |
Real period |
R |
1.7182426801477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11220h1 |
Quadratic twists by: -3 |