Atkin-Lehner |
2- 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123420y |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
486000 |
Modular degree for the optimal curve |
Δ |
-18799947056880 = -1 · 24 · 33 · 5 · 116 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -5 11- -2 17+ 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10446,457389] |
[a1,a2,a3,a4,a6] |
j |
-4447738624/663255 |
j-invariant |
L |
1.9931190414434 |
L(r)(E,1)/r! |
Ω |
0.66437300962513 |
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 |
1020g1 |
Quadratic twists by: -11 |