Atkin-Lehner |
2+ 3+ 19+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
19608a |
Isogeny class |
Conductor |
19608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
-9353839536 = -1 · 24 · 32 · 19 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ -2 0 4 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-559,7084] |
[a1,a2,a3,a4,a6] |
j |
-1209527744512/584614971 |
j-invariant |
L |
1.2091176460166 |
L(r)(E,1)/r! |
Ω |
1.2091176460166 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
39216g1 58824h1 |
Quadratic twists by: -4 -3 |