Atkin-Lehner |
2- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
13328z |
Isogeny class |
Conductor |
13328 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-1.3199854885463E+21 |
Discriminant |
Eigenvalues |
2- 3 2 7- 5 3 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1198099,1819424978] |
[a1,a2,a3,a4,a6] |
j |
-164384733177/1140850688 |
j-invariant |
L |
6.5623661406721 |
L(r)(E,1)/r! |
Ω |
0.13124732281344 |
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 |
1666h1 53312cn1 119952fh1 13328l1 |
Quadratic twists by: -4 8 -3 -7 |