Atkin-Lehner |
2- 3+ 7+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
110544bv |
Isogeny class |
Conductor |
110544 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
44928 |
Modular degree for the optimal curve |
Δ |
-1316247408 = -1 · 24 · 36 · 74 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 -4 -3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,82,1695] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:27:1] |
Generators of the group modulo torsion |
j |
1568000/34263 |
j-invariant |
L |
2.9548120586142 |
L(r)(E,1)/r! |
Ω |
1.1423770993178 |
Real period |
R |
1.2932735027785 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999768406 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27636n1 110544dl1 |
Quadratic twists by: -4 -7 |