Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600fk |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
5.4866519833316E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3727331393,87582095757537] |
[a1,a2,a3,a4,a6] |
j |
873851835888094527083289145/83719665273003835392 |
j-invariant |
L |
0.79516556625784 |
L(r)(E,1)/r! |
Ω |
0.049697848158555 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600cr2 20400db2 81600jp2 |
Quadratic twists by: -4 8 5 |