Atkin-Lehner |
2+ 3- 7+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
73206d |
Isogeny class |
Conductor |
73206 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-44647784205696 = -1 · 27 · 36 · 78 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 1 7+ 4 5 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,8811,42741] |
[a1,a2,a3,a4,a6] |
j |
17999471/10624 |
j-invariant |
L |
2.3357581322562 |
L(r)(E,1)/r! |
Ω |
0.38929302486241 |
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 |
8134d1 73206s1 |
Quadratic twists by: -3 -7 |