Atkin-Lehner |
2+ 3- 5+ 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190j |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
22272 |
Modular degree for the optimal curve |
Δ |
-6347636280 = -1 · 23 · 38 · 5 · 192 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 1 -3 -2 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-474,5476] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:-84:1] |
Generators of the group modulo torsion |
j |
-11741970526489/6347636280 |
j-invariant |
L |
4.5781719583114 |
L(r)(E,1)/r! |
Ω |
1.2442452233514 |
Real period |
R |
0.2299673263954 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114570bu1 |
Quadratic twists by: -3 |