Atkin-Lehner |
3- 23- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
93633b |
Isogeny class |
Conductor |
93633 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
44160 |
Modular degree for the optimal curve |
Δ |
-1842978339 = -1 · 310 · 232 · 59 |
Discriminant |
Eigenvalues |
0 3- -1 -3 -2 4 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-981,11684] |
[a1,a2,a3,a4,a6] |
Generators |
[18:13:1] |
Generators of the group modulo torsion |
j |
-197568495616/3483891 |
j-invariant |
L |
5.0258044018212 |
L(r)(E,1)/r! |
Ω |
1.4861709566061 |
Real period |
R |
0.33817135115395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999948439 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
93633a1 |
Quadratic twists by: -23 |