Atkin-Lehner |
2- 5- 17- 23- |
Signs for the Atkin-Lehner involutions |
Class |
89930bg |
Isogeny class |
Conductor |
89930 |
Conductor |
∏ cp |
126 |
Product of Tamagawa factors cp |
deg |
997920 |
Modular degree for the optimal curve |
Δ |
-659714241462272000 = -1 · 221 · 53 · 17 · 236 |
Discriminant |
Eigenvalues |
2- 1 5- -2 0 -1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,211060,11603600] |
[a1,a2,a3,a4,a6] |
Generators |
[320:-10740:1] |
Generators of the group modulo torsion |
j |
7023836099951/4456448000 |
j-invariant |
L |
11.923438740651 |
L(r)(E,1)/r! |
Ω |
0.17875404954212 |
Real period |
R |
0.52938921627733 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000227 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
170c1 |
Quadratic twists by: -23 |