Atkin-Lehner |
2+ 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
81600cr |
Isogeny class |
Conductor |
81600 |
Conductor |
∏ cp |
42 |
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 |
2.4345745956541 |
L(r)(E,1)/r! |
Ω |
0.057966062962522 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
81600fk1 2550r1 81600cb1 |
Quadratic twists by: -4 8 5 |