Atkin-Lehner |
2+ 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600j |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
67584 |
Modular degree for the optimal curve |
Δ |
8900000000 = 28 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ -2 5+ 2 -4 -6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18508,962988] |
[a1,a2,a3,a4,a6] |
Generators |
[-118:1232:1] [-2:1000:1] |
Generators of the group modulo torsion |
j |
175293437776/2225 |
j-invariant |
L |
6.3581095656395 |
L(r)(E,1)/r! |
Ω |
1.1844718730341 |
Real period |
R |
2.6839428231218 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17800d1 7120g1 |
Quadratic twists by: -4 5 |