Atkin-Lehner |
2+ 3+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
128502c |
Isogeny class |
Conductor |
128502 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1140480 |
Modular degree for the optimal curve |
Δ |
-21906220637721816 = -1 · 23 · 39 · 119 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 1 4 11+ -4 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,65136,3109112] |
[a1,a2,a3,a4,a6] |
j |
658503/472 |
j-invariant |
L |
0.97006133575237 |
L(r)(E,1)/r! |
Ω |
0.24251536992632 |
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 |
128502bd1 128502bf1 |
Quadratic twists by: -3 -11 |