Atkin-Lehner |
2- 3- 23+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
45264q |
Isogeny class |
Conductor |
45264 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-7388614361088 = -1 · 218 · 36 · 23 · 412 |
Discriminant |
Eigenvalues |
2- 3- -4 2 -4 -6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3840,94644] |
[a1,a2,a3,a4,a6] |
Generators |
[42:-576:1] |
Generators of the group modulo torsion |
j |
1528425711359/1803860928 |
j-invariant |
L |
4.2005907252724 |
L(r)(E,1)/r! |
Ω |
0.49647887601071 |
Real period |
R |
0.7050636875377 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5658f1 |
Quadratic twists by: -4 |