Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28392w |
Isogeny class |
Conductor |
28392 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
35863036412112 = 24 · 36 · 72 · 137 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- -2 13+ -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34363,2446300] |
[a1,a2,a3,a4,a6] |
Generators |
[73:567:1] |
Generators of the group modulo torsion |
j |
58107136000/464373 |
j-invariant |
L |
4.3141430900582 |
L(r)(E,1)/r! |
Ω |
0.65500586736249 |
Real period |
R |
1.6466047500574 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
56784j1 85176ba1 2184a1 |
Quadratic twists by: -4 -3 13 |