Atkin-Lehner |
2- 3- 5- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
82650cv |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
84 |
Product of Tamagawa factors cp |
deg |
470400 |
Modular degree for the optimal curve |
Δ |
-476064000000000 = -1 · 214 · 33 · 59 · 19 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -2 1 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-38388,-3082608] |
[a1,a2,a3,a4,a6] |
Generators |
[552:-12276:1] |
Generators of the group modulo torsion |
j |
-3203176271021/243744768 |
j-invariant |
L |
13.964912024193 |
L(r)(E,1)/r! |
Ω |
0.16979578890715 |
Real period |
R |
0.97911116446101 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004301 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650i1 |
Quadratic twists by: 5 |