Atkin-Lehner |
13+ 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5681a |
Isogeny class |
Conductor |
5681 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1403207 = 132 · 192 · 23 |
Discriminant |
Eigenvalues |
1 -2 -4 0 0 13+ -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-118,477] |
[a1,a2,a3,a4,a6] |
Generators |
[1:18:1] |
Generators of the group modulo torsion |
j |
179501589721/1403207 |
j-invariant |
L |
1.9267995583903 |
L(r)(E,1)/r! |
Ω |
2.7136682702596 |
Real period |
R |
0.71003503984148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
90896p2 51129g2 73853d2 107939h2 |
Quadratic twists by: -4 -3 13 -19 |