Atkin-Lehner |
2- 3+ 5+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
19470w |
Isogeny class |
Conductor |
19470 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-1947000 = -1 · 23 · 3 · 53 · 11 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 3 11- 1 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-46,-157] |
[a1,a2,a3,a4,a6] |
j |
-10779215329/1947000 |
j-invariant |
L |
2.722742728127 |
L(r)(E,1)/r! |
Ω |
0.90758090937568 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58410l1 97350bf1 |
Quadratic twists by: -3 5 |