Atkin-Lehner |
2- 11- 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
128986v |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
76 |
Product of Tamagawa factors cp |
deg |
510720 |
Modular degree for the optimal curve |
Δ |
-5445602321629184 = -1 · 219 · 117 · 13 · 41 |
Discriminant |
Eigenvalues |
2- -1 -1 0 11- 13+ -7 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,16514,3462075] |
[a1,a2,a3,a4,a6] |
Generators |
[369:7559:1] [-73:1405:1] |
Generators of the group modulo torsion |
j |
281140102151/3073900544 |
j-invariant |
L |
13.962846313259 |
L(r)(E,1)/r! |
Ω |
0.31581993450305 |
Real period |
R |
0.58172914982083 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000001178 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726g1 |
Quadratic twists by: -11 |