Atkin-Lehner |
2+ 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
16214c |
Isogeny class |
Conductor |
16214 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
83560989248 = 26 · 117 · 67 |
Discriminant |
Eigenvalues |
2+ 0 4 -4 11- 2 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1535,18893] |
[a1,a2,a3,a4,a6] |
j |
225866529/47168 |
j-invariant |
L |
1.0214467611031 |
L(r)(E,1)/r! |
Ω |
1.0214467611031 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129712x1 1474a1 |
Quadratic twists by: -4 -11 |