Atkin-Lehner |
2+ 5- 23- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
37720i |
Isogeny class |
Conductor |
37720 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
11973120 |
Modular degree for the optimal curve |
Δ |
1.589628242978E+26 |
Discriminant |
Eigenvalues |
2+ 2 5- -2 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-285345215,-1753189766020] |
[a1,a2,a3,a4,a6] |
Generators |
[-209470602172573788508332:2211269631811198844257943:18321322225897214784] |
Generators of the group modulo torsion |
j |
160588896405864939680196130816/9935176518612687037597445 |
j-invariant |
L |
8.017866023446 |
L(r)(E,1)/r! |
Ω |
0.036875349978377 |
Real period |
R |
36.238598540517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
75440h1 |
Quadratic twists by: -4 |