Atkin-Lehner |
2- 3- 5+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
20700h |
Isogeny class |
Conductor |
20700 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-335340000000 = -1 · 28 · 36 · 57 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -6 -6 7 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1800,40500] |
[a1,a2,a3,a4,a6] |
Generators |
[45:225:1] |
Generators of the group modulo torsion |
j |
-221184/115 |
j-invariant |
L |
4.7647328563297 |
L(r)(E,1)/r! |
Ω |
0.89513751093738 |
Real period |
R |
1.3307265079697 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82800eb1 2300c1 4140i1 |
Quadratic twists by: -4 -3 5 |