Atkin-Lehner |
2+ 3- 5- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10050o |
Isogeny class |
Conductor |
10050 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
18480 |
Modular degree for the optimal curve |
Δ |
160800000000 = 211 · 3 · 58 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 -2 -1 -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-11076,447298] |
[a1,a2,a3,a4,a6] |
Generators |
[52:86:1] |
Generators of the group modulo torsion |
j |
384641511385/411648 |
j-invariant |
L |
4.3510340753644 |
L(r)(E,1)/r! |
Ω |
1.0182630048855 |
Real period |
R |
1.4243321075494 |
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 |
80400cq1 30150ct1 10050x1 |
Quadratic twists by: -4 -3 5 |