Atkin-Lehner |
2+ 11- 13+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986g |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
806400 |
Modular degree for the optimal curve |
Δ |
-40217155817696 = -1 · 25 · 119 · 13 · 41 |
Discriminant |
Eigenvalues |
2+ -3 -3 -4 11- 13+ -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,764,304816] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-689:1] [-122:4365:8] |
Generators of the group modulo torsion |
j |
27818127/22701536 |
j-invariant |
L |
3.5027594680373 |
L(r)(E,1)/r! |
Ω |
0.50382879492007 |
Real period |
R |
1.738070306465 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999887716 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726m1 |
Quadratic twists by: -11 |