Atkin-Lehner |
2+ 11+ 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986d |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
164736 |
Modular degree for the optimal curve |
Δ |
-2513572238606 = -1 · 2 · 119 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ -1 1 -2 11+ 13- 3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3023,42827] |
[a1,a2,a3,a4,a6] |
Generators |
[11:273:1] [158:2583:8] |
Generators of the group modulo torsion |
j |
1295029/1066 |
j-invariant |
L |
7.5978945477144 |
L(r)(E,1)/r! |
Ω |
0.52562160325925 |
Real period |
R |
7.2275326116148 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999866589 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128986p1 |
Quadratic twists by: -11 |