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 |
deg |
16450560 |
Modular degree for the optimal curve |
Δ |
4.4145147288034E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 3 -4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98660993,-200188233183] |
[a1,a2,a3,a4,a6] |
j |
16206164115169540524745/6736014906011025408 |
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 |
81600cr1 20400db1 81600jp1 |
Quadratic twists by: -4 8 5 |