Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722cv |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
552960 |
Modular degree for the optimal curve |
Δ |
-4254317622376668 = -1 · 22 · 36 · 77 · 116 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- -4 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-27792,-3602516] |
[a1,a2,a3,a4,a6] |
Generators |
[366:-6112:1] [300:3722:1] |
Generators of the group modulo torsion |
j |
-15625/28 |
j-invariant |
L |
8.5854487745219 |
L(r)(E,1)/r! |
Ω |
0.17442184156068 |
Real period |
R |
3.0763953848675 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000191 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11858bk1 15246i1 882i1 |
Quadratic twists by: -3 -7 -11 |