Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
91728ch |
Isogeny class |
Conductor |
91728 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2333928568992104448 = 216 · 39 · 77 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6753915,-6755473494] |
[a1,a2,a3,a4,a6] |
Generators |
[843506805:44203952512:185193] |
Generators of the group modulo torsion |
j |
3592121380875/246064 |
j-invariant |
L |
5.512420750658 |
L(r)(E,1)/r! |
Ω |
0.093651004953776 |
Real period |
R |
14.715327240046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024748 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11466bj3 91728cg1 13104bf3 |
Quadratic twists by: -4 -3 -7 |