Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200b |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
126224000000 = 210 · 56 · 73 · 23 |
Discriminant |
Eigenvalues |
2+ -2 5+ 7+ 2 -4 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-65808,6475888] |
[a1,a2,a3,a4,a6] |
Generators |
[108:800:1] |
Generators of the group modulo torsion |
j |
1969910093092/7889 |
j-invariant |
L |
3.2337083086936 |
L(r)(E,1)/r! |
Ω |
0.9172997912868 |
Real period |
R |
1.7626234843885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999998 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400u1 1288i1 |
Quadratic twists by: -4 5 |