Atkin-Lehner |
2- 3- 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
89712bh |
Isogeny class |
Conductor |
89712 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-197769745152 = -1 · 28 · 311 · 72 · 89 |
Discriminant |
Eigenvalues |
2- 3- 2 7- -2 0 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1704,34508] |
[a1,a2,a3,a4,a6] |
Generators |
[34:126:1] |
Generators of the group modulo torsion |
j |
-2932006912/1059723 |
j-invariant |
L |
7.7034527092685 |
L(r)(E,1)/r! |
Ω |
0.94644473349304 |
Real period |
R |
1.0174197762265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999968566 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
22428d1 29904c1 |
Quadratic twists by: -4 -3 |