Atkin-Lehner |
2- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
35600be |
Isogeny class |
Conductor |
35600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
8900000000000000 = 214 · 514 · 89 |
Discriminant |
Eigenvalues |
2- 2 5+ 4 0 0 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-167408,-25914688] |
[a1,a2,a3,a4,a6] |
Generators |
[93724114:403640625:195112] |
Generators of the group modulo torsion |
j |
8107275964969/139062500 |
j-invariant |
L |
9.3236675548025 |
L(r)(E,1)/r! |
Ω |
0.23626923890397 |
Real period |
R |
9.8655114796731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4450o1 7120l1 |
Quadratic twists by: -4 5 |