Atkin-Lehner |
2- 3- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
60192x |
Isogeny class |
Conductor |
60192 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-2491914129408 = -1 · 212 · 37 · 114 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 4 11- -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,1284,73856] |
[a1,a2,a3,a4,a6] |
j |
78402752/834537 |
j-invariant |
L |
2.3959873499021 |
L(r)(E,1)/r! |
Ω |
0.59899683718235 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
60192t2 120384da1 20064b4 |
Quadratic twists by: -4 8 -3 |