Atkin-Lehner |
2- 3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
19266z |
Isogeny class |
Conductor |
19266 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
20160 |
Modular degree for the optimal curve |
Δ |
-28613323752 = -1 · 23 · 3 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 -3 -5 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-88,-8152] |
[a1,a2,a3,a4,a6] |
j |
-15625/5928 |
j-invariant |
L |
3.1765814767412 |
L(r)(E,1)/r! |
Ω |
0.52943024612354 |
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 |
57798s1 1482c1 |
Quadratic twists by: -3 13 |