Atkin-Lehner |
2- 3- 11- 13- 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682cd |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
504 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-53250299664921216 = -1 · 27 · 39 · 112 · 133 · 433 |
Discriminant |
Eigenvalues |
2- 3- -3 -4 11- 13- -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,60781,9471539] |
[a1,a2,a3,a4,a6] |
Generators |
[1437:54622:1] [147:-4718:1] |
Generators of the group modulo torsion |
j |
34064844088765463/73045678552704 |
j-invariant |
L |
13.159243505655 |
L(r)(E,1)/r! |
Ω |
0.24584899103424 |
Real period |
R |
0.10620181933426 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894q1 |
Quadratic twists by: -3 |