Atkin-Lehner |
2+ 3- 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
78144bp |
Isogeny class |
Conductor |
78144 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
985179537408 = 214 · 3 · 114 · 372 |
Discriminant |
Eigenvalues |
2+ 3- 0 4 11- -6 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6033,-175953] |
[a1,a2,a3,a4,a6] |
j |
1482435250000/60130587 |
j-invariant |
L |
4.3444559271089 |
L(r)(E,1)/r! |
Ω |
0.54305699564869 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
78144bw2 4884a2 |
Quadratic twists by: -4 8 |