Atkin-Lehner |
2- 3- 7+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
87822z |
Isogeny class |
Conductor |
87822 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
468479785980927168 = 26 · 37 · 710 · 172 · 41 |
Discriminant |
Eigenvalues |
2- 3- 2 7+ 2 4 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-324284,-62908225] |
[a1,a2,a3,a4,a6] |
Generators |
[1173:33613:1] |
Generators of the group modulo torsion |
j |
5173345603891608697/642633451276992 |
j-invariant |
L |
12.514917544475 |
L(r)(E,1)/r! |
Ω |
0.20169483014277 |
Real period |
R |
5.1707314192024 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000604 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29274s2 |
Quadratic twists by: -3 |