Atkin-Lehner |
2- 3+ 5- 7+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
33180g |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11904 |
Modular degree for the optimal curve |
Δ |
-283091760 = -1 · 24 · 34 · 5 · 7 · 792 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 0 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-225,-1458] |
[a1,a2,a3,a4,a6] |
Generators |
[292752:2396979:4096] |
Generators of the group modulo torsion |
j |
-79082438656/17693235 |
j-invariant |
L |
5.3760091457904 |
L(r)(E,1)/r! |
Ω |
0.60886078492107 |
Real period |
R |
8.8296196420129 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
99540e1 |
Quadratic twists by: -3 |