Atkin-Lehner |
2- 3- 5- 7+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
54180s |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
940800 |
Modular degree for the optimal curve |
Δ |
-1548936145260000000 = -1 · 28 · 37 · 57 · 77 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -1 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2641512,-1653529484] |
[a1,a2,a3,a4,a6] |
Generators |
[1877:1125:1] |
Generators of the group modulo torsion |
j |
-10922297016484225024/8299769296875 |
j-invariant |
L |
6.3173770237823 |
L(r)(E,1)/r! |
Ω |
0.059208849258094 |
Real period |
R |
3.8105893091927 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18060i1 |
Quadratic twists by: -3 |