Atkin-Lehner |
2+ 3- 11- 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502z |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1843200 |
Modular degree for the optimal curve |
Δ |
271564718649444 = 22 · 310 · 117 · 59 |
Discriminant |
Eigenvalues |
2+ 3- -2 2 11- 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1191933,501168465] |
[a1,a2,a3,a4,a6] |
j |
145009284418153/210276 |
j-invariant |
L |
1.8720436128651 |
L(r)(E,1)/r! |
Ω |
0.46801114090243 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42834bg1 11682r1 |
Quadratic twists by: -3 -11 |