Atkin-Lehner |
2- 3+ 13- 19- |
Signs for the Atkin-Lehner involutions |
Class |
47424cu |
Isogeny class |
Conductor |
47424 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-437059584 = -1 · 216 · 33 · 13 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 3 5 2 13- 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5889,-171999] |
[a1,a2,a3,a4,a6] |
j |
-344700718852/6669 |
j-invariant |
L |
4.3598595959925 |
L(r)(E,1)/r! |
Ω |
0.27249122475029 |
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 |
47424bx1 11856k1 |
Quadratic twists by: -4 8 |