Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110co |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
526938841406250 = 2 · 32 · 58 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2997086,1996836666] |
[a1,a2,a3,a4,a6] |
j |
25306558948218234961/4478906250 |
j-invariant |
L |
3.2805523823371 |
L(r)(E,1)/r! |
Ω |
0.41006904779213 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
57330cg6 95550br6 2730w5 |
Quadratic twists by: -3 5 -7 |