Atkin-Lehner |
2+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986l |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
414720 |
Modular degree for the optimal curve |
Δ |
50278998708224 = 212 · 116 · 132 · 41 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 11- 13- 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-20048,-1032960] |
[a1,a2,a3,a4,a6] |
Generators |
[9696:161552:27] |
Generators of the group modulo torsion |
j |
503028912177/28381184 |
j-invariant |
L |
3.9631839580319 |
L(r)(E,1)/r! |
Ω |
0.4026303265466 |
Real period |
R |
4.9216164907522 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999996175157 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1066e1 |
Quadratic twists by: -11 |