Atkin-Lehner |
2- 19+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
16112b |
Isogeny class |
Conductor |
16112 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
1296 |
Modular degree for the optimal curve |
Δ |
-16112 = -1 · 24 · 19 · 53 |
Discriminant |
Eigenvalues |
2- -1 2 4 3 4 7 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2,7] |
[a1,a2,a3,a4,a6] |
j |
-87808/1007 |
j-invariant |
L |
3.3310741072894 |
L(r)(E,1)/r! |
Ω |
3.3310741072894 |
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 |
4028a1 64448o1 |
Quadratic twists by: -4 8 |