Atkin-Lehner |
2+ 7+ 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674a |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
9285120 |
Modular degree for the optimal curve |
Δ |
-6.1028339904461E+20 |
Discriminant |
Eigenvalues |
2+ -2 4 7+ -3 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,324256,1186468014] |
[a1,a2,a3,a4,a6] |
j |
1570353910372217831/254178841751191552 |
j-invariant |
L |
1.5050654765946 |
L(r)(E,1)/r! |
Ω |
0.12542186523501 |
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 |
128674j1 |
Quadratic twists by: -7 |