Atkin-Lehner |
2+ 3- 5+ 11+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
88110k |
Isogeny class |
Conductor |
88110 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
39321600 |
Modular degree for the optimal curve |
Δ |
2.1150134313869E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 4 11+ 2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-380666880,2857920102400] |
[a1,a2,a3,a4,a6] |
j |
8368188648876773705628794881/2901252992300325273600 |
j-invariant |
L |
2.912988071445 |
L(r)(E,1)/r! |
Ω |
0.080916335471643 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
29370bb1 |
Quadratic twists by: -3 |