Atkin-Lehner |
2- 7- 11- 53- |
Signs for the Atkin-Lehner involutions |
Class |
89782bl |
Isogeny class |
Conductor |
89782 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
898560 |
Modular degree for the optimal curve |
Δ |
-1137267090331064 = -1 · 23 · 72 · 117 · 533 |
Discriminant |
Eigenvalues |
2- 3 -1 7- 11- -5 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-61128,6054403] |
[a1,a2,a3,a4,a6] |
Generators |
[1533:44111:27] |
Generators of the group modulo torsion |
j |
-14258751510249/641957624 |
j-invariant |
L |
17.673475454728 |
L(r)(E,1)/r! |
Ω |
0.48394191351433 |
Real period |
R |
1.014439667378 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993219 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8162b1 |
Quadratic twists by: -11 |