Atkin-Lehner |
2- 3- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
33228a |
Isogeny class |
Conductor |
33228 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-635713975728 = -1 · 24 · 316 · 13 · 71 |
Discriminant |
Eigenvalues |
2- 3- 0 0 -4 13- 0 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2040,-14623] |
[a1,a2,a3,a4,a6] |
Generators |
[8:47:1] |
Generators of the group modulo torsion |
j |
80494592000/54502227 |
j-invariant |
L |
5.2707041536017 |
L(r)(E,1)/r! |
Ω |
0.51739540453039 |
Real period |
R |
3.3956648419181 |
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 |
11076a1 |
Quadratic twists by: -3 |