Atkin-Lehner |
2- 11+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986r |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-399002196736 = -1 · 28 · 113 · 134 · 41 |
Discriminant |
Eigenvalues |
2- -2 1 -5 11+ 13- 3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1840,1024] |
[a1,a2,a3,a4,a6] |
Generators |
[10:138:1] |
Generators of the group modulo torsion |
j |
517588208389/299776256 |
j-invariant |
L |
5.4066094100473 |
L(r)(E,1)/r! |
Ω |
0.56828688907479 |
Real period |
R |
0.14865427235379 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999997689795 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128986c1 |
Quadratic twists by: -11 |