Atkin-Lehner |
2+ 3- 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326s |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-62713855347264 = -1 · 26 · 38 · 114 · 1012 |
Discriminant |
Eigenvalues |
2+ 3- -1 -2 11- -1 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-28559,1893890] |
[a1,a2,a3,a4,a6] |
Generators |
[318:4840:1] [87:-308:1] |
Generators of the group modulo torsion |
j |
-175938182278969/4283440704 |
j-invariant |
L |
8.5334369102916 |
L(r)(E,1)/r! |
Ω |
0.62107228823866 |
Real period |
R |
0.14312338434434 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000038 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
73326bi1 |
Quadratic twists by: -11 |