Atkin-Lehner |
2+ 3- 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870s |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
322562241125830350 = 2 · 310 · 52 · 23 · 416 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -6 0 -8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171504,-776822] |
[a1,a2,a3,a4,a6] |
Generators |
[837:20594:1] |
Generators of the group modulo torsion |
j |
765280009544064769/442472210049150 |
j-invariant |
L |
3.6020557143602 |
L(r)(E,1)/r! |
Ω |
0.25669008127638 |
Real period |
R |
1.1693919294794 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003598 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290i2 |
Quadratic twists by: -3 |