Atkin-Lehner |
2- 3- 7+ 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
81774by |
Isogeny class |
Conductor |
81774 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
-20312378989056 = -1 · 29 · 38 · 7 · 114 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 7+ 11- -2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-47822,4042973] |
[a1,a2,a3,a4,a6] |
Generators |
[117:-257:1] |
Generators of the group modulo torsion |
j |
-16590935511882649/27863345664 |
j-invariant |
L |
10.405182198757 |
L(r)(E,1)/r! |
Ω |
0.68322850275415 |
Real period |
R |
0.21151989243149 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000128 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27258j1 |
Quadratic twists by: -3 |