Atkin-Lehner |
2- 3- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
50562z |
Isogeny class |
Conductor |
50562 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
9720 |
Modular degree for the optimal curve |
Δ |
-16382088 = -1 · 23 · 36 · 532 |
Discriminant |
Eigenvalues |
2- 3- 0 2 0 -4 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-50,249] |
[a1,a2,a3,a4,a6] |
Generators |
[3:9:1] |
Generators of the group modulo torsion |
j |
-6625/8 |
j-invariant |
L |
10.089461818203 |
L(r)(E,1)/r! |
Ω |
1.9907217866267 |
Real period |
R |
1.6894143430787 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5618a1 50562n1 |
Quadratic twists by: -3 53 |