Atkin-Lehner |
2+ 3- 7+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20706l |
Isogeny class |
Conductor |
20706 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
657741450334961664 = 218 · 36 · 72 · 174 · 292 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1431102,-657914960] |
[a1,a2,a3,a4,a6] |
Generators |
[-676:1179:1] |
Generators of the group modulo torsion |
j |
324141801776417977142617/657741450334961664 |
j-invariant |
L |
3.5658137398192 |
L(r)(E,1)/r! |
Ω |
0.1380495157522 |
Real period |
R |
2.1524968296037 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
62118bh2 |
Quadratic twists by: -3 |