Atkin-Lehner |
3- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
33327k |
Isogeny class |
Conductor |
33327 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1854720 |
Modular degree for the optimal curve |
Δ |
-9.8496535633581E+20 |
Discriminant |
Eigenvalues |
2 3- 2 7+ -3 4 2 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2226561,802933789] |
[a1,a2,a3,a4,a6] |
Generators |
[-1596527711587168754372:-146467910686221736249469:7893293971143466432] |
Generators of the group modulo torsion |
j |
929714176/750141 |
j-invariant |
L |
12.346400144099 |
L(r)(E,1)/r! |
Ω |
0.10083095898446 |
Real period |
R |
30.611630268244 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11109a1 33327q1 |
Quadratic twists by: -3 -23 |