Atkin-Lehner |
2+ 3- 5+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
128160i |
Isogeny class |
Conductor |
128160 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3753984 |
Modular degree for the optimal curve |
Δ |
-8.3902290342863E+19 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -6 4 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,41352,-440690128] |
[a1,a2,a3,a4,a6] |
j |
2618941474304/28098707274675 |
j-invariant |
L |
2.8378637859259 |
L(r)(E,1)/r! |
Ω |
0.08868325786514 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128160j1 42720j1 |
Quadratic twists by: -4 -3 |