Atkin-Lehner |
2- 5+ 29- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
89900f |
Isogeny class |
Conductor |
89900 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-67969704100000000 = -1 · 28 · 58 · 294 · 312 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -4 -6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,93092,-6118812] |
[a1,a2,a3,a4,a6] |
Generators |
[92:1798:1] |
Generators of the group modulo torsion |
j |
22304687251376/16992426025 |
j-invariant |
L |
3.1248121403786 |
L(r)(E,1)/r! |
Ω |
0.19399548952758 |
Real period |
R |
0.67115223172086 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008364 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17980d2 |
Quadratic twists by: 5 |