Atkin-Lehner |
2- 17+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
99416k |
Isogeny class |
Conductor |
99416 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-4517008112384 = -1 · 28 · 177 · 43 |
Discriminant |
Eigenvalues |
2- -3 -1 -4 0 -3 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2023,-108086] |
[a1,a2,a3,a4,a6] |
Generators |
[85:578:1] |
Generators of the group modulo torsion |
j |
-148176/731 |
j-invariant |
L |
1.9365432612837 |
L(r)(E,1)/r! |
Ω |
0.32154862862566 |
Real period |
R |
0.37640948591404 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999861928 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5848h1 |
Quadratic twists by: 17 |