Atkin-Lehner |
2+ 3+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
43602c |
Isogeny class |
Conductor |
43602 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
43545600 |
Modular degree for the optimal curve |
Δ |
7.5911293738842E+26 |
Discriminant |
Eigenvalues |
2+ 3+ -2 -2 -6 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-770887081,8130566687365] |
[a1,a2,a3,a4,a6] |
Generators |
[99183078:533416717:6859] |
Generators of the group modulo torsion |
j |
10496291948059005959195233/157270142114265563136 |
j-invariant |
L |
0.84470572102158 |
L(r)(E,1)/r! |
Ω |
0.050650528788485 |
Real period |
R |
8.3385676441616 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998923 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3354d1 |
Quadratic twists by: 13 |