Atkin-Lehner |
2+ 3- 5+ 11+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
33330b |
Isogeny class |
Conductor |
33330 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
214272 |
Modular degree for the optimal curve |
Δ |
17443938631680 = 218 · 32 · 5 · 114 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 11+ 4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-153524,23139506] |
[a1,a2,a3,a4,a6] |
Generators |
[-400:4737:1] |
Generators of the group modulo torsion |
j |
400173639713191733689/17443938631680 |
j-invariant |
L |
5.2839798394138 |
L(r)(E,1)/r! |
Ω |
0.65058702621092 |
Real period |
R |
4.0609323784 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99990x1 |
Quadratic twists by: -3 |