Atkin-Lehner |
2- 3- 5- 7- 67- |
Signs for the Atkin-Lehner involutions |
Class |
28140s |
Isogeny class |
Conductor |
28140 |
Conductor |
∏ cp |
324 |
Product of Tamagawa factors cp |
deg |
46656 |
Modular degree for the optimal curve |
Δ |
4188287250000 = 24 · 36 · 56 · 73 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 0 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8785,-304192] |
[a1,a2,a3,a4,a6] |
j |
4686822022660096/261767953125 |
j-invariant |
L |
4.453610651035 |
L(r)(E,1)/r! |
Ω |
0.49484562789285 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
112560br1 84420n1 |
Quadratic twists by: -4 -3 |