Atkin-Lehner |
2- 3+ 5+ 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
100050bp |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
174 |
Product of Tamagawa factors cp |
deg |
2539008 |
Modular degree for the optimal curve |
Δ |
-7.058346737664E+19 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -2 -1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,412562,-390960469] |
[a1,a2,a3,a4,a6] |
Generators |
[1489:-60137:1] |
Generators of the group modulo torsion |
j |
497017054896221159/4517341912104960 |
j-invariant |
L |
8.135577946565 |
L(r)(E,1)/r! |
Ω |
0.096344733410884 |
Real period |
R |
0.48530099719399 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999778662 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20010o1 |
Quadratic twists by: 5 |