Atkin-Lehner |
2+ 3+ 5- 19- |
Signs for the Atkin-Lehner involutions |
Class |
10830g |
Isogeny class |
Conductor |
10830 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
864000 |
Modular degree for the optimal curve |
Δ |
-1.3523372667578E+22 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 -4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,3369928,5064449856] |
[a1,a2,a3,a4,a6] |
Generators |
[2992:203304:1] |
Generators of the group modulo torsion |
j |
89962967236397039/287450726400000 |
j-invariant |
L |
2.6987366988835 |
L(r)(E,1)/r! |
Ω |
0.088815779865959 |
Real period |
R |
3.0385779452215 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86640ec1 32490bn1 54150cn1 570l1 |
Quadratic twists by: -4 -3 5 -19 |