Atkin-Lehner |
2- 3+ 13- 103- |
Signs for the Atkin-Lehner involutions |
Class |
16068c |
Isogeny class |
Conductor |
16068 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
4320 |
Modular degree for the optimal curve |
Δ |
-9255168 = -1 · 28 · 33 · 13 · 103 |
Discriminant |
Eigenvalues |
2- 3+ 0 3 5 13- 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-148,760] |
[a1,a2,a3,a4,a6] |
j |
-1409938000/36153 |
j-invariant |
L |
2.3022434311865 |
L(r)(E,1)/r! |
Ω |
2.3022434311865 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64272z1 48204k1 |
Quadratic twists by: -4 -3 |