Atkin-Lehner |
2- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73892b |
Isogeny class |
Conductor |
73892 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
217728 |
Modular degree for the optimal curve |
Δ |
13109526421264 = 24 · 78 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 3 1 7+ -3 13+ 5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6517,-103243] |
[a1,a2,a3,a4,a6] |
j |
331865856/142129 |
j-invariant |
L |
6.627641412215 |
L(r)(E,1)/r! |
Ω |
0.55230345329514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73892m1 |
Quadratic twists by: -7 |