Atkin-Lehner |
2- 3- 23- 89+ |
Signs for the Atkin-Lehner involutions |
Class |
73692b |
Isogeny class |
Conductor |
73692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27264 |
Modular degree for the optimal curve |
Δ |
-23876208 = -1 · 24 · 36 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3- -2 -3 0 0 -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1881,31401] |
[a1,a2,a3,a4,a6] |
Generators |
[25:-1:1] [15:81:1] |
Generators of the group modulo torsion |
j |
-63101922048/2047 |
j-invariant |
L |
8.5947198253578 |
L(r)(E,1)/r! |
Ω |
1.9895616687567 |
Real period |
R |
0.71998436978769 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999496 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8188b1 |
Quadratic twists by: -3 |