Atkin-Lehner |
2+ 3- 5- 23- 29- |
Signs for the Atkin-Lehner involutions |
Class |
20010o |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
105792 |
Modular degree for the optimal curve |
Δ |
-4517341912104960 = -1 · 229 · 3 · 5 · 23 · 293 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -2 1 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,16502,-3127684] |
[a1,a2,a3,a4,a6] |
Generators |
[109590:-54947:1000] |
Generators of the group modulo torsion |
j |
497017054896221159/4517341912104960 |
j-invariant |
L |
5.0381810707496 |
L(r)(E,1)/r! |
Ω |
0.21543337318083 |
Real period |
R |
7.795420298415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
60030bc1 100050bp1 |
Quadratic twists by: -3 5 |