Atkin-Lehner |
2- 3+ 13- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
38844a |
Isogeny class |
Conductor |
38844 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11328 |
Modular degree for the optimal curve |
Δ |
466128 = 24 · 33 · 13 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -4 13- -4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1080,13661] |
[a1,a2,a3,a4,a6] |
Generators |
[67:492:1] |
Generators of the group modulo torsion |
j |
322486272000/1079 |
j-invariant |
L |
4.5326479992644 |
L(r)(E,1)/r! |
Ω |
2.5866893370999 |
Real period |
R |
3.5045940262354 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38844b1 |
Quadratic twists by: -3 |