Atkin-Lehner |
3- 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
42237c |
Isogeny class |
Conductor |
42237 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-4.0803364858514E+23 |
Discriminant |
Eigenvalues |
1 3- 3 1 -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18098487,-8144702442] |
[a1,a2,a3,a4,a6] |
Generators |
[512322741130446:-47235619421455356:838828609991] |
Generators of the group modulo torsion |
j |
19116191615070887/11897257043061 |
j-invariant |
L |
8.2810246093288 |
L(r)(E,1)/r! |
Ω |
0.054558298385242 |
Real period |
R |
18.972880511356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14079e1 2223e1 |
Quadratic twists by: -3 -19 |