Atkin-Lehner |
2+ 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
17800a |
Isogeny class |
Conductor |
17800 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
8900000000 = 28 · 58 · 89 |
Discriminant |
Eigenvalues |
2+ 2 5+ 2 -4 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-908,9812] |
[a1,a2,a3,a4,a6] |
Generators |
[13:6:1] |
Generators of the group modulo torsion |
j |
20720464/2225 |
j-invariant |
L |
7.6320986761397 |
L(r)(E,1)/r! |
Ω |
1.2617332261333 |
Real period |
R |
3.0244502237326 |
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 |
35600e1 3560f1 |
Quadratic twists by: -4 5 |