Atkin-Lehner |
2- 3- 5+ 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
20010v |
Isogeny class |
Conductor |
20010 |
Conductor |
∏ cp |
189 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-446531557529664000 = -1 · 29 · 321 · 53 · 23 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 0 -1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,46974,-31906620] |
[a1,a2,a3,a4,a6] |
Generators |
[1524:59070:1] |
Generators of the group modulo torsion |
j |
11462933280746326751/446531557529664000 |
j-invariant |
L |
9.2588768001774 |
L(r)(E,1)/r! |
Ω |
0.14271680598109 |
Real period |
R |
3.0893270923185 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
60030u1 100050j1 |
Quadratic twists by: -3 5 |