Atkin-Lehner |
2+ 11- 13- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
128986k |
Isogeny class |
Conductor |
128986 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5391360 |
Modular degree for the optimal curve |
Δ |
-1.8524257642164E+21 |
Discriminant |
Eigenvalues |
2+ 0 1 -3 11- 13- 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7683704,8457335552] |
[a1,a2,a3,a4,a6] |
Generators |
[1312:24512:1] |
Generators of the group modulo torsion |
j |
-28319104195866315441/1045646051260096 |
j-invariant |
L |
4.6664863650515 |
L(r)(E,1)/r! |
Ω |
0.14737064598962 |
Real period |
R |
3.9581204627725 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000447924 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
11726i1 |
Quadratic twists by: -11 |