Atkin-Lehner |
2- 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
128440v |
Isogeny class |
Conductor |
128440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
4838400 |
Modular degree for the optimal curve |
Δ |
-8955993261718750000 = -1 · 24 · 514 · 136 · 19 |
Discriminant |
Eigenvalues |
2- -2 5+ -4 -4 13+ -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4399971,-3556791770] |
[a1,a2,a3,a4,a6] |
Generators |
[2357155:-321601879:125] |
Generators of the group modulo torsion |
j |
-121981271658244096/115966796875 |
j-invariant |
L |
1.3320386575625 |
L(r)(E,1)/r! |
Ω |
0.052117351702453 |
Real period |
R |
12.779224144543 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000143473 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
760b1 |
Quadratic twists by: 13 |