Atkin-Lehner |
2- 3+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
4128j |
Isogeny class |
Conductor |
4128 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
42240 |
Modular degree for the optimal curve |
Δ |
-106668460655087616 = -1 · 212 · 311 · 435 |
Discriminant |
Eigenvalues |
2- 3+ -3 -1 1 3 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-660097,207241201] |
[a1,a2,a3,a4,a6] |
j |
-7765826776893057088/26042104652121 |
j-invariant |
L |
0.67205888445684 |
L(r)(E,1)/r! |
Ω |
0.33602944222842 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4128g1 8256x1 12384g1 103200x1 |
Quadratic twists by: -4 8 -3 5 |