Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722a |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
725760 |
Modular degree for the optimal curve |
Δ |
-4832853677711136 = -1 · 25 · 39 · 78 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 1 7+ 11+ -6 3 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,19101,3181877] |
[a1,a2,a3,a4,a6] |
Generators |
[37:1966:1] |
Generators of the group modulo torsion |
j |
5103/32 |
j-invariant |
L |
4.7473850415078 |
L(r)(E,1)/r! |
Ω |
0.31383165247725 |
Real period |
R |
1.2605975717017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027544 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722ea1 106722m1 106722dz1 |
Quadratic twists by: -3 -7 -11 |