Atkin-Lehner |
2+ 3- 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960cl |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
-3193651781959680 = -1 · 234 · 37 · 5 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-46092,-4679696] |
[a1,a2,a3,a4,a6] |
Generators |
[8613121737165270:799466075185086464:999100269973] |
Generators of the group modulo torsion |
j |
-56667352321/16711680 |
j-invariant |
L |
7.2678759439013 |
L(r)(E,1)/r! |
Ω |
0.16047563497145 |
Real period |
R |
22.644795719937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999865 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960fd1 1530c1 16320bb1 |
Quadratic twists by: -4 8 -3 |