Atkin-Lehner |
2+ 3- 5- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
84870j |
Isogeny class |
Conductor |
84870 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9.0414065839029E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 6 6 0 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1469619,-510454035] |
[a1,a2,a3,a4,a6] |
Generators |
[-134393:841791:343] |
Generators of the group modulo torsion |
j |
481515891109904924209/124024781672193960 |
j-invariant |
L |
6.0424548009576 |
L(r)(E,1)/r! |
Ω |
0.13972967543635 |
Real period |
R |
10.810972646697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007713 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28290v2 |
Quadratic twists by: -3 |