Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536be |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-4606377984 = -1 · 214 · 35 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 3 -1 3 13+ 0 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-197824,-33932236] |
[a1,a2,a3,a4,a6] |
Generators |
[650:10608:1] |
Generators of the group modulo torsion |
j |
-209027245050714817/1124604 |
j-invariant |
L |
9.5044282117117 |
L(r)(E,1)/r! |
Ω |
0.11318780323828 |
Real period |
R |
4.1985213687763 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6942i1 |
Quadratic twists by: -4 |