Atkin-Lehner |
3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
121275gb |
Isogeny class |
Conductor |
121275 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
456192 |
Modular degree for the optimal curve |
Δ |
116977670704125 = 315 · 53 · 72 · 113 |
Discriminant |
Eigenvalues |
2 3- 5- 7- 11+ 1 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-18165,-785619] |
[a1,a2,a3,a4,a6] |
j |
148455501824/26198073 |
j-invariant |
L |
3.3296684976227 |
L(r)(E,1)/r! |
Ω |
0.41620869673711 |
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 |
40425dh1 121275gd1 121275fa1 |
Quadratic twists by: -3 5 -7 |