Atkin-Lehner |
2- 3- 5- 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
100050cp |
Isogeny class |
Conductor |
100050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
115200 |
Modular degree for the optimal curve |
Δ |
-353817320250 = -1 · 2 · 3 · 53 · 23 · 295 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -1 -2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1747,-5253] |
[a1,a2,a3,a4,a6] |
Generators |
[758550:8959131:125000] |
Generators of the group modulo torsion |
j |
4717119482011/2830538562 |
j-invariant |
L |
12.944607617867 |
L(r)(E,1)/r! |
Ω |
0.55777971289852 |
Real period |
R |
11.603691664346 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100050o1 |
Quadratic twists by: 5 |