Atkin-Lehner |
2+ 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650bc |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
15511202790750 = 2 · 35 · 53 · 192 · 294 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11296,420488] |
[a1,a2,a3,a4,a6] |
Generators |
[-92:872:1] [-394:7603:8] |
Generators of the group modulo torsion |
j |
1275065461409453/124089622326 |
j-invariant |
L |
8.8476790756939 |
L(r)(E,1)/r! |
Ω |
0.67936601942209 |
Real period |
R |
0.65117174122405 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999755 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82650bw2 |
Quadratic twists by: 5 |