Atkin-Lehner |
2+ 3- 5- 19+ 67- |
Signs for the Atkin-Lehner involutions |
Class |
38190p |
Isogeny class |
Conductor |
38190 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-320360939520 = -1 · 224 · 3 · 5 · 19 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-968,-29674] |
[a1,a2,a3,a4,a6] |
j |
-100162392144121/320360939520 |
j-invariant |
L |
3.1563195557986 |
L(r)(E,1)/r! |
Ω |
0.39453994447541 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114570bh1 |
Quadratic twists by: -3 |