Atkin-Lehner |
2+ 3+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
110466b |
Isogeny class |
Conductor |
110466 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1175040 |
Modular degree for the optimal curve |
Δ |
-1196397265834116 = -1 · 22 · 39 · 17 · 197 |
Discriminant |
Eigenvalues |
2+ 3+ 1 -5 2 6 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-98079,11963681] |
[a1,a2,a3,a4,a6] |
Generators |
[176:-449:1] [-185:4966:1] |
Generators of the group modulo torsion |
j |
-112678587/1292 |
j-invariant |
L |
8.8466832876099 |
L(r)(E,1)/r! |
Ω |
0.48847862288516 |
Real period |
R |
2.2638358357905 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999949922 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110466bb1 5814l1 |
Quadratic twists by: -3 -19 |