Atkin-Lehner |
2- 7- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
89936ba |
Isogeny class |
Conductor |
89936 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
11143430144 = 214 · 7 · 113 · 73 |
Discriminant |
Eigenvalues |
2- 0 1 7- 11- -2 2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-587,2042] |
[a1,a2,a3,a4,a6] |
Generators |
[37:-176:1] |
Generators of the group modulo torsion |
j |
5461074081/2720564 |
j-invariant |
L |
6.5365159854565 |
L(r)(E,1)/r! |
Ω |
1.1317748761787 |
Real period |
R |
0.48128799860802 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007781 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11242g1 |
Quadratic twists by: -4 |