Atkin-Lehner |
2+ 7+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110656c |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
79872 |
Modular degree for the optimal curve |
Δ |
-19149684736 = -1 · 216 · 7 · 133 · 19 |
Discriminant |
Eigenvalues |
2+ 2 1 7+ 5 13+ 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-705,10049] |
[a1,a2,a3,a4,a6] |
j |
-592143556/292201 |
j-invariant |
L |
4.5530610065423 |
L(r)(E,1)/r! |
Ω |
1.1382654109686 |
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 |
110656bi1 13832f1 |
Quadratic twists by: -4 8 |