Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
14760n |
Isogeny class |
Conductor |
14760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
21520080 = 24 · 38 · 5 · 41 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5538,-158627] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2205:1] |
Generators of the group modulo torsion |
j |
1610404796416/1845 |
j-invariant |
L |
4.3950610490103 |
L(r)(E,1)/r! |
Ω |
0.5534282787317 |
Real period |
R |
3.9707593720026 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29520f1 118080by1 4920c1 73800m1 |
Quadratic twists by: -4 8 -3 5 |