Atkin-Lehner |
2- 23+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
42688n |
Isogeny class |
Conductor |
42688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184320 |
Modular degree for the optimal curve |
Δ |
-9023508108541952 = -1 · 220 · 233 · 294 |
Discriminant |
Eigenvalues |
2- 0 0 -4 2 -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-19660,4691856] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:2088:1] |
Generators of the group modulo torsion |
j |
-3205784543625/34421951708 |
j-invariant |
L |
3.5182106489833 |
L(r)(E,1)/r! |
Ω |
0.35008906113333 |
Real period |
R |
2.5123683082214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999994 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42688g1 10672c1 |
Quadratic twists by: -4 8 |