Atkin-Lehner |
2- 3- 83- |
Signs for the Atkin-Lehner involutions |
Class |
47808bw |
Isogeny class |
Conductor |
47808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-247836672 = -1 · 212 · 36 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 -3 1 0 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1524,-22912] |
[a1,a2,a3,a4,a6] |
j |
-131096512/83 |
j-invariant |
L |
3.0563058537098 |
L(r)(E,1)/r! |
Ω |
0.38203823168246 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47808bn1 23904e1 5312j1 |
Quadratic twists by: -4 8 -3 |