Atkin-Lehner |
2- 5+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
88330x |
Isogeny class |
Conductor |
88330 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
316800 |
Modular degree for the optimal curve |
Δ |
-62592793252000 = -1 · 25 · 53 · 118 · 73 |
Discriminant |
Eigenvalues |
2- -2 5+ 4 11- 4 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-1636,381360] |
[a1,a2,a3,a4,a6] |
Generators |
[10:600:1] |
Generators of the group modulo torsion |
j |
-2259169/292000 |
j-invariant |
L |
7.5674640694862 |
L(r)(E,1)/r! |
Ω |
0.50987203291887 |
Real period |
R |
0.98945926208894 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999837604 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
88330j1 |
Quadratic twists by: -11 |