Atkin-Lehner |
2+ 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
65600m |
Isogeny class |
Conductor |
65600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
671744000000 = 220 · 56 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 2 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2433,23263] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:256:1] |
Generators of the group modulo torsion |
j |
389017/164 |
j-invariant |
L |
5.6318656777649 |
L(r)(E,1)/r! |
Ω |
0.82045215474458 |
Real period |
R |
1.7160859548926 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000161 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65600bj1 2050e1 2624b1 |
Quadratic twists by: -4 8 5 |