Atkin-Lehner |
2- 3- 5+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
19110co |
Isogeny class |
Conductor |
19110 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
592734532899600 = 24 · 32 · 52 · 78 · 134 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-22296,-521424] |
[a1,a2,a3,a4,a6] |
j |
10418796526321/5038160400 |
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 |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57330cg2 95550br2 2730w2 |
Quadratic twists by: -3 5 -7 |