Atkin-Lehner |
2- 3- 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850fl |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
29014382250000 = 24 · 38 · 56 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 0 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-17330,843297] |
[a1,a2,a3,a4,a6] |
Generators |
[-37:1215:1] |
Generators of the group modulo torsion |
j |
50529889873/2547216 |
j-invariant |
L |
10.233910558161 |
L(r)(E,1)/r! |
Ω |
0.6547937341251 |
Real period |
R |
0.97682579497948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000011 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
19950k2 2394f2 |
Quadratic twists by: -3 5 |