Atkin-Lehner |
3- 7- 19+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
87381f |
Isogeny class |
Conductor |
87381 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
686248168977 = 312 · 72 · 192 · 73 |
Discriminant |
Eigenvalues |
1 3- 0 7- 6 -4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-171792,-27363501] |
[a1,a2,a3,a4,a6] |
j |
769141797928890625/941355513 |
j-invariant |
L |
3.7520508405156 |
L(r)(E,1)/r! |
Ω |
0.23450317878513 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29127e2 |
Quadratic twists by: -3 |