Atkin-Lehner |
3- 5- 7+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
46725v |
Isogeny class |
Conductor |
46725 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
504000 |
Modular degree for the optimal curve |
Δ |
704136258984375 = 310 · 58 · 73 · 89 |
Discriminant |
Eigenvalues |
1 3- 5- 7+ -6 -5 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-405451,99327923] |
[a1,a2,a3,a4,a6] |
Generators |
[427:-2239:1] |
Generators of the group modulo torsion |
j |
18870233117987785/1802588823 |
j-invariant |
L |
6.7761314864742 |
L(r)(E,1)/r! |
Ω |
0.48672226548387 |
Real period |
R |
0.464065578187 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46725h1 |
Quadratic twists by: 5 |