Atkin-Lehner |
2+ 3- 5- 23- 41- |
Signs for the Atkin-Lehner involutions |
Class |
84870r |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
7.8620926816547E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 -4 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1337139,415290645] |
[a1,a2,a3,a4,a6] |
Generators |
[1081:14697:1] |
Generators of the group modulo torsion |
j |
362682027044257850929/107847636236690400 |
j-invariant |
L |
4.5687260855498 |
L(r)(E,1)/r! |
Ω |
0.17917851961357 |
Real period |
R |
6.3745449215841 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999992364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290r2 |
Quadratic twists by: -3 |