Atkin-Lehner |
2+ 3+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
106722c |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
2965248 |
Modular degree for the optimal curve |
Δ |
-263828320385236992 = -1 · 222 · 39 · 74 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7+ 11+ 0 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-737655,-244917667] |
[a1,a2,a3,a4,a6] |
Generators |
[125270:517973:125] |
Generators of the group modulo torsion |
j |
-705703720113/4194304 |
j-invariant |
L |
7.3740512732688 |
L(r)(E,1)/r! |
Ω |
0.081423902993249 |
Real period |
R |
3.7734882140999 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999938004 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722ec1 106722o1 106722eb1 |
Quadratic twists by: -3 -7 -11 |