Atkin-Lehner |
2- 7- 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
53998p |
Isogeny class |
Conductor |
53998 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
3354624 |
Modular degree for the optimal curve |
Δ |
-4.0747553162491E+19 |
Discriminant |
Eigenvalues |
2- 3 -1 7- 1 -1 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3555033,-2597290055] |
[a1,a2,a3,a4,a6] |
j |
-42234393984440290641/346348487131136 |
j-invariant |
L |
9.2311403231024 |
L(r)(E,1)/r! |
Ω |
0.054947263813854 |
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 |
7714f1 |
Quadratic twists by: -7 |