Atkin-Lehner |
2+ 7- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
85918i |
Isogeny class |
Conductor |
85918 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
254016 |
Modular degree for the optimal curve |
Δ |
-4414486085632 = -1 · 221 · 73 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 2 0 7- 3 -5 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-10780,-447024] |
[a1,a2,a3,a4,a6] |
Generators |
[1123974:12054869:5832] |
Generators of the group modulo torsion |
j |
-383827192854625/12228493312 |
j-invariant |
L |
7.0278224030842 |
L(r)(E,1)/r! |
Ω |
0.23382755822724 |
Real period |
R |
10.018525983868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993633 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85918bh1 |
Quadratic twists by: -19 |