Atkin-Lehner |
2- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
16900c |
Isogeny class |
Conductor |
16900 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12096 |
Modular degree for the optimal curve |
Δ |
401590508800 = 28 · 52 · 137 |
Discriminant |
Eigenvalues |
2- 1 5+ 2 2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2253,-28417] |
[a1,a2,a3,a4,a6] |
j |
40960/13 |
j-invariant |
L |
2.84112707488 |
L(r)(E,1)/r! |
Ω |
0.71028176871999 |
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 |
67600bt1 16900s1 1300c1 |
Quadratic twists by: -4 5 13 |