Atkin-Lehner |
2+ 3+ 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650g |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
63360 |
Modular degree for the optimal curve |
Δ |
1338930000 = 24 · 35 · 54 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 5 -4 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1100,-14400] |
[a1,a2,a3,a4,a6] |
Generators |
[-20:20:1] |
Generators of the group modulo torsion |
j |
235851422425/2142288 |
j-invariant |
L |
3.849365238199 |
L(r)(E,1)/r! |
Ω |
0.82935037932084 |
Real period |
R |
0.77357036278875 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999878882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650cd1 |
Quadratic twists by: 5 |