Atkin-Lehner |
2- 3+ 7- 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
23142y |
Isogeny class |
Conductor |
23142 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
579084904188 = 22 · 34 · 7 · 192 · 294 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-54067,-4861291] |
[a1,a2,a3,a4,a6] |
Generators |
[371:4944:1] |
Generators of the group modulo torsion |
j |
17479179091873083313/579084904188 |
j-invariant |
L |
8.2867434195362 |
L(r)(E,1)/r! |
Ω |
0.31308863846483 |
Real period |
R |
3.308465399834 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69426v4 |
Quadratic twists by: -3 |