Atkin-Lehner |
2- 3- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
38160bq |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1244160 |
Modular degree for the optimal curve |
Δ |
-1.4337617882304E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -1 -6 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15843027,24272672146] |
[a1,a2,a3,a4,a6] |
j |
-147282356044230283729/4801639219200 |
j-invariant |
L |
1.660961491888 |
L(r)(E,1)/r! |
Ω |
0.20762018648763 |
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 |
4770m1 12720ba1 |
Quadratic twists by: -4 -3 |