Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
47808ca |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-1707346833408 = -1 · 212 · 36 · 833 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 -3 0 -5 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2196,74304] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:332:1] [16:208:1] |
Generators of the group modulo torsion |
j |
-392223168/571787 |
j-invariant |
L |
7.6135933889642 |
L(r)(E,1)/r! |
Ω |
0.7554088915849 |
Real period |
R |
1.679795201817 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999984 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47808bp1 23904d1 5312k1 |
Quadratic twists by: -4 8 -3 |