Atkin-Lehner |
2- 3- 23- |
Signs for the Atkin-Lehner involutions |
Class |
19044g |
Isogeny class |
Conductor |
19044 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1059840 |
Modular degree for the optimal curve |
Δ |
-5.0724280041737E+22 |
Discriminant |
Eigenvalues |
2- 3- 1 2 0 1 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9234753,-862469962] |
[a1,a2,a3,a4,a6] |
j |
11265584/6561 |
j-invariant |
L |
3.3265124417863 |
L(r)(E,1)/r! |
Ω |
0.066530248835727 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76176bw1 6348b1 19044j1 |
Quadratic twists by: -4 -3 -23 |