Atkin-Lehner |
2- 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106800bq |
Isogeny class |
Conductor |
106800 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-13287628800 = -1 · 213 · 36 · 52 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -1 2 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,592,468] |
[a1,a2,a3,a4,a6] |
Generators |
[4:54:1] |
Generators of the group modulo torsion |
j |
223694375/129762 |
j-invariant |
L |
8.566724902271 |
L(r)(E,1)/r! |
Ω |
0.75658030049327 |
Real period |
R |
0.94357960267437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035372 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13350k1 106800bl1 |
Quadratic twists by: -4 5 |