Atkin-Lehner |
2- 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
16530z |
Isogeny class |
Conductor |
16530 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-5800244760000 = -1 · 26 · 36 · 54 · 193 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,2344,107520] |
[a1,a2,a3,a4,a6] |
j |
1424245822088831/5800244760000 |
j-invariant |
L |
3.247780479587 |
L(r)(E,1)/r! |
Ω |
0.54129674659784 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
49590y1 82650d1 |
Quadratic twists by: -3 5 |