Atkin-Lehner |
2- 3- 5+ 7+ |
Signs for the Atkin-Lehner involutions |
Class |
20160dt |
Isogeny class |
Conductor |
20160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
-102876480 = -1 · 26 · 38 · 5 · 72 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -2 0 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3,-488] |
[a1,a2,a3,a4,a6] |
Generators |
[92:882:1] |
Generators of the group modulo torsion |
j |
-64/2205 |
j-invariant |
L |
4.3114568146598 |
L(r)(E,1)/r! |
Ω |
0.86126273067592 |
Real period |
R |
2.5029858259837 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
20160ec1 10080bv2 6720ch1 100800nj1 |
Quadratic twists by: -4 8 -3 5 |