Atkin-Lehner |
5+ 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
128975h |
Isogeny class |
Conductor |
128975 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
195040106078125 = 56 · 73 · 112 · 673 |
Discriminant |
Eigenvalues |
-1 1 5+ 7- 11- -1 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-585563,-172515508] |
[a1,a2,a3,a4,a6] |
Generators |
[1661:57805:1] |
Generators of the group modulo torsion |
j |
1421099916246680041/12482566789 |
j-invariant |
L |
5.337932875698 |
L(r)(E,1)/r! |
Ω |
0.17258632174423 |
Real period |
R |
5.1548435405504 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999264028 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5159f1 |
Quadratic twists by: 5 |