Atkin-Lehner |
2- 3- 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
19800bc |
Isogeny class |
Conductor |
19800 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
15877620000000 = 28 · 38 · 57 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 11+ -4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-53175,-4715750] |
[a1,a2,a3,a4,a6] |
Generators |
[-135:50:1] |
Generators of the group modulo torsion |
j |
5702413264/5445 |
j-invariant |
L |
5.2068142135432 |
L(r)(E,1)/r! |
Ω |
0.31441088749759 |
Real period |
R |
1.035033776777 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39600be2 6600p2 3960h2 |
Quadratic twists by: -4 -3 5 |