Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722ek |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-56349216 = -1 · 25 · 33 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- 11+ 6 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,43,333] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-24:1] |
Generators of the group modulo torsion |
j |
5103/32 |
j-invariant |
L |
13.186639513926 |
L(r)(E,1)/r! |
Ω |
1.4381573029501 |
Real period |
R |
0.45845609102036 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004753 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722m1 106722ea1 106722l1 |
Quadratic twists by: -3 -7 -11 |