Atkin-Lehner |
2- 3- 13- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
18486s |
Isogeny class |
Conductor |
18486 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-353671859736 = -1 · 23 · 316 · 13 · 79 |
Discriminant |
Eigenvalues |
2- 3- 1 3 1 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,58,-28627] |
[a1,a2,a3,a4,a6] |
j |
30080231/485146584 |
j-invariant |
L |
5.3033805968564 |
L(r)(E,1)/r! |
Ω |
0.44194838307137 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6162i1 |
Quadratic twists by: -3 |