Atkin-Lehner |
2+ 3- 5- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
43320o |
Isogeny class |
Conductor |
43320 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
2954880 |
Modular degree for the optimal curve |
Δ |
-5.348599541376E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5- 3 2 1 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7725520,8980200368] |
[a1,a2,a3,a4,a6] |
Generators |
[-1324:129960:1] |
Generators of the group modulo torsion |
j |
-2932095879364/307546875 |
j-invariant |
L |
9.1196268855197 |
L(r)(E,1)/r! |
Ω |
0.13232709166169 |
Real period |
R |
0.21270773963796 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86640g1 129960cb1 43320y1 |
Quadratic twists by: -4 -3 -19 |