Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14896c |
Isogeny class |
Conductor |
14896 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
-112159968256 = -1 · 210 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ 0 -3 7+ 1 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-265139,-52548286] |
[a1,a2,a3,a4,a6] |
Generators |
[16617:112582:27] |
Generators of the group modulo torsion |
j |
-349188777252/19 |
j-invariant |
L |
3.5011569282242 |
L(r)(E,1)/r! |
Ω |
0.10519646693393 |
Real period |
R |
8.3205192870759 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448l1 59584bv1 14896p1 |
Quadratic twists by: -4 8 -7 |