Atkin-Lehner |
2- 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
19942g |
Isogeny class |
Conductor |
19942 |
Conductor |
∏ cp |
19 |
Product of Tamagawa factors cp |
deg |
85272 |
Modular degree for the optimal curve |
Δ |
-149307644182528 = -1 · 219 · 136 · 59 |
Discriminant |
Eigenvalues |
2- 2 -2 3 -1 13+ -1 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,9376,-468863] |
[a1,a2,a3,a4,a6] |
j |
18884848247/30932992 |
j-invariant |
L |
5.7913882237407 |
L(r)(E,1)/r! |
Ω |
0.30480990651267 |
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 |
118d1 |
Quadratic twists by: 13 |