Atkin-Lehner |
2- 7- 13- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
73892l |
Isogeny class |
Conductor |
73892 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2169216 |
Modular degree for the optimal curve |
Δ |
642366794641936 = 24 · 710 · 132 · 292 |
Discriminant |
Eigenvalues |
2- 1 -1 7- 5 13- -5 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-27386606,55154832053] |
[a1,a2,a3,a4,a6] |
j |
502617940927357696/142129 |
j-invariant |
L |
1.2139604125703 |
L(r)(E,1)/r! |
Ω |
0.30349011392679 |
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 |
73892a1 |
Quadratic twists by: -7 |