Atkin-Lehner |
2+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
46400v |
Isogeny class |
Conductor |
46400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
11600000000 = 210 · 58 · 29 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 -4 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1133,13363] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:161:1] [-2:125:1] |
Generators of the group modulo torsion |
j |
10061824/725 |
j-invariant |
L |
6.5533109534968 |
L(r)(E,1)/r! |
Ω |
1.2473613860647 |
Real period |
R |
2.6268694167983 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999992 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
46400cb1 5800h1 9280j1 |
Quadratic twists by: -4 8 5 |