Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
48960el |
Isogeny class |
Conductor |
48960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
2994048545587200 = 230 · 38 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 4 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58188,4717712] |
[a1,a2,a3,a4,a6] |
Generators |
[-64:2860:1] |
Generators of the group modulo torsion |
j |
114013572049/15667200 |
j-invariant |
L |
7.2187079308177 |
L(r)(E,1)/r! |
Ω |
0.43345392968211 |
Real period |
R |
4.1634804972741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000034 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48960bt1 12240cc1 16320ch1 |
Quadratic twists by: -4 8 -3 |