Atkin-Lehner |
2- 3- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
73692d |
Isogeny class |
Conductor |
73692 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
21888 |
Modular degree for the optimal curve |
Δ |
-23876208 = -1 · 24 · 36 · 23 · 89 |
Discriminant |
Eigenvalues |
2- 3- -4 1 4 -6 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63,-135] |
[a1,a2,a3,a4,a6] |
Generators |
[3:9:1] |
Generators of the group modulo torsion |
j |
2370816/2047 |
j-invariant |
L |
4.7502100786933 |
L(r)(E,1)/r! |
Ω |
1.1746436198119 |
Real period |
R |
0.67399308748401 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999971175 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8188a1 |
Quadratic twists by: -3 |