Atkin-Lehner |
7+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
16093a |
Isogeny class |
Conductor |
16093 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
14592 |
Modular degree for the optimal curve |
Δ |
-416470859651 = -1 · 74 · 113 · 194 |
Discriminant |
Eigenvalues |
0 -1 1 7+ 11+ -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2185,50830] |
[a1,a2,a3,a4,a6] |
Generators |
[-40:269:1] [26:104:1] |
Generators of the group modulo torsion |
j |
-867158982656/312900721 |
j-invariant |
L |
5.1413760712833 |
L(r)(E,1)/r! |
Ω |
0.88954087566385 |
Real period |
R |
0.36123804228269 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
112651d1 16093b1 |
Quadratic twists by: -7 -11 |