Atkin-Lehner |
3+ 7+ 19+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
106533b |
Isogeny class |
Conductor |
106533 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
518400 |
Modular degree for the optimal curve |
Δ |
348508316998233 = 39 · 76 · 19 · 892 |
Discriminant |
Eigenvalues |
-1 3+ 2 7+ -2 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-274754,55493776] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:10592:1] |
Generators of the group modulo torsion |
j |
116536778702797851/17706056851 |
j-invariant |
L |
3.6978708377512 |
L(r)(E,1)/r! |
Ω |
0.5210495822736 |
Real period |
R |
3.5484826789375 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007086 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
106533d1 |
Quadratic twists by: -3 |