Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
65520cm |
Isogeny class |
Conductor |
65520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-1760775045120 = -1 · 216 · 310 · 5 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-363,63898] |
[a1,a2,a3,a4,a6] |
Generators |
[21:256:1] |
Generators of the group modulo torsion |
j |
-1771561/589680 |
j-invariant |
L |
5.7322595792253 |
L(r)(E,1)/r! |
Ω |
0.68087026029632 |
Real period |
R |
2.1047547209763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000526 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8190bh1 21840cc1 |
Quadratic twists by: -4 -3 |