Atkin-Lehner |
2+ 5+ 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
92560a |
Isogeny class |
Conductor |
92560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12480 |
Modular degree for the optimal curve |
Δ |
-11847680 = -1 · 211 · 5 · 13 · 89 |
Discriminant |
Eigenvalues |
2+ 0 5+ 1 0 13+ 0 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43,-198] |
[a1,a2,a3,a4,a6] |
Generators |
[9:12:1] |
Generators of the group modulo torsion |
j |
-4293378/5785 |
j-invariant |
L |
4.906025742613 |
L(r)(E,1)/r! |
Ω |
0.88805324492856 |
Real period |
R |
1.3811181282775 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001686 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
46280d1 |
Quadratic twists by: -4 |