Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600i |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
6144 |
Modular degree for the optimal curve |
Δ |
4556800 = 211 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5+ -4 -4 3 -1 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-88,-332] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:4:1] [42:268:1] |
Generators of the group modulo torsion |
j |
1488770/89 |
j-invariant |
L |
9.0364905190782 |
L(r)(E,1)/r! |
Ω |
1.563106955185 |
Real period |
R |
1.4452770632719 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999991 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
17800c1 35600o1 |
Quadratic twists by: -4 5 |