Atkin-Lehner |
2+ 3- 13+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
55536m |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
456960 |
Modular degree for the optimal curve |
Δ |
-146546526746490624 = -1 · 28 · 37 · 135 · 893 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 -1 13+ -6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-130924,-25960852] |
[a1,a2,a3,a4,a6] |
Generators |
[446:2136:1] |
Generators of the group modulo torsion |
j |
-969493407551902672/572447370103479 |
j-invariant |
L |
9.6734410676511 |
L(r)(E,1)/r! |
Ω |
0.12218175141898 |
Real period |
R |
1.8850607619081 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999623 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27768c1 |
Quadratic twists by: -4 |