Atkin-Lehner |
2- 3- 5- 7+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
54180r |
Isogeny class |
Conductor |
54180 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
493715250000 = 24 · 38 · 56 · 7 · 43 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -4 -4 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7752,260521] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-135:1] [-78:625:1] |
Generators of the group modulo torsion |
j |
4416899252224/42328125 |
j-invariant |
L |
9.81234802626 |
L(r)(E,1)/r! |
Ω |
0.93569952554738 |
Real period |
R |
0.58259134585385 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999977 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18060h1 |
Quadratic twists by: -3 |