Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
24336bn |
Isogeny class |
Conductor |
24336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-5.9276628133235E+19 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 -2 13+ -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-85683,-370550414] |
[a1,a2,a3,a4,a6] |
Generators |
[4783783:106417674:4913] |
Generators of the group modulo torsion |
j |
-169/144 |
j-invariant |
L |
3.98297082136 |
L(r)(E,1)/r! |
Ω |
0.089081403139714 |
Real period |
R |
11.177896510883 |
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 |
3042c1 97344eu1 8112bb1 24336bi1 |
Quadratic twists by: -4 8 -3 13 |