Atkin-Lehner |
2- 3- 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
123840gn |
Isogeny class |
Conductor |
123840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-1479137034240 = -1 · 220 · 38 · 5 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- -4 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1428,-54704] |
[a1,a2,a3,a4,a6] |
Generators |
[80:756:1] |
Generators of the group modulo torsion |
j |
1685159/7740 |
j-invariant |
L |
4.0111993261682 |
L(r)(E,1)/r! |
Ω |
0.4288289959265 |
Real period |
R |
2.3384608524237 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000121497 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123840cv1 30960bi1 41280dd1 |
Quadratic twists by: -4 8 -3 |