Atkin-Lehner |
2+ 7+ 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110768a |
Isogeny class |
Conductor |
110768 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
12800 |
Modular degree for the optimal curve |
Δ |
-1772288 = -1 · 28 · 7 · 23 · 43 |
Discriminant |
Eigenvalues |
2+ -1 0 7+ 2 4 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33,109] |
[a1,a2,a3,a4,a6] |
Generators |
[4:5:1] |
Generators of the group modulo torsion |
j |
-16000000/6923 |
j-invariant |
L |
4.3066385553143 |
L(r)(E,1)/r! |
Ω |
2.4787592501236 |
Real period |
R |
1.737417034212 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000002424 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55384k1 |
Quadratic twists by: -4 |