Atkin-Lehner |
2- 3+ 19+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
113088w |
Isogeny class |
Conductor |
113088 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
162799078084706304 = 224 · 312 · 19 · 312 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 -2 -4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-384929,-89720511] |
[a1,a2,a3,a4,a6] |
j |
24061727981584873/621029198016 |
j-invariant |
L |
0.76788850710578 |
L(r)(E,1)/r! |
Ω |
0.19197209864658 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
113088p2 28272k2 |
Quadratic twists by: -4 8 |