Atkin-Lehner |
2+ 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19264d |
Isogeny class |
Conductor |
19264 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-2085484654231552 = -1 · 226 · 75 · 432 |
Discriminant |
Eigenvalues |
2+ 0 4 7+ 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,7732,-2181520] |
[a1,a2,a3,a4,a6] |
Generators |
[2413687100:10988534072:20796875] |
Generators of the group modulo torsion |
j |
195011097399/7955492608 |
j-invariant |
L |
6.2593175392638 |
L(r)(E,1)/r! |
Ω |
0.22304309505487 |
Real period |
R |
14.031632626251 |
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 |
19264s1 602a1 |
Quadratic twists by: -4 8 |