Atkin-Lehner |
2+ 3- 17- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
89352g |
Isogeny class |
Conductor |
89352 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
-200797532928 = -1 · 28 · 37 · 173 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 3 2 0 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-300,21652] |
[a1,a2,a3,a4,a6] |
Generators |
[44:-306:1] |
Generators of the group modulo torsion |
j |
-16000000/1075947 |
j-invariant |
L |
8.2148089896853 |
L(r)(E,1)/r! |
Ω |
0.8289037629413 |
Real period |
R |
0.20646770047727 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000005862 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29784k1 |
Quadratic twists by: -3 |