Atkin-Lehner |
2+ 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
8190k |
Isogeny class |
Conductor |
8190 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
8192 |
Modular degree for the optimal curve |
Δ |
3311642880 = 28 · 37 · 5 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3375,-74579] |
[a1,a2,a3,a4,a6] |
Generators |
[-33:23:1] |
Generators of the group modulo torsion |
j |
5832972054001/4542720 |
j-invariant |
L |
3.0003379166953 |
L(r)(E,1)/r! |
Ω |
0.62639081722197 |
Real period |
R |
1.1974704266905 |
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 |
65520dg1 2730w1 40950ef1 57330cg1 |
Quadratic twists by: -4 -3 5 -7 |