Atkin-Lehner |
2+ 3+ 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682c |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1747200 |
Modular degree for the optimal curve |
Δ |
-311495533356294144 = -1 · 213 · 39 · 112 · 135 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 11+ 13- -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-434148,-113223088] |
[a1,a2,a3,a4,a6] |
j |
-459776104556546259/15825612627968 |
j-invariant |
L |
1.8561457673076 |
L(r)(E,1)/r! |
Ω |
0.09280728650676 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682bf1 |
Quadratic twists by: -3 |