Atkin-Lehner |
2- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
98384n |
Isogeny class |
Conductor |
98384 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
5437440 |
Modular degree for the optimal curve |
Δ |
-9.1561665086032E+19 |
Discriminant |
Eigenvalues |
2- 1 4 4 11- 13+ -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,648504,-413961868] |
[a1,a2,a3,a4,a6] |
j |
7363784526099467831/22353922140144452 |
j-invariant |
L |
5.8557241879851 |
L(r)(E,1)/r! |
Ω |
0.097595406204849 |
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 |
12298a1 |
Quadratic twists by: -4 |