Atkin-Lehner |
5+ 19+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
128155a |
Isogeny class |
Conductor |
128155 |
Conductor |
∏ cp |
15 |
Product of Tamagawa factors cp |
deg |
4924800 |
Modular degree for the optimal curve |
Δ |
-1.5321121461566E+20 |
Discriminant |
Eigenvalues |
0 -2 5+ 1 -2 2 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-12451371,-16925812230] |
[a1,a2,a3,a4,a6] |
j |
-12570323657457664/9021146755 |
j-invariant |
L |
0.60275246885306 |
L(r)(E,1)/r! |
Ω |
0.040183389850386 |
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 |
128155b1 |
Quadratic twists by: -19 |