Atkin-Lehner |
2+ 7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
111622i |
Isogeny class |
Conductor |
111622 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3962880 |
Modular degree for the optimal curve |
Δ |
82749688011323956 = 22 · 77 · 174 · 673 |
Discriminant |
Eigenvalues |
2+ -3 -1 7- -2 -3 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-3875125,2937075889] |
[a1,a2,a3,a4,a6] |
Generators |
[-2203:29007:1] [1080:-3823:1] |
Generators of the group modulo torsion |
j |
54700674737911296921/703360742644 |
j-invariant |
L |
4.8391403980145 |
L(r)(E,1)/r! |
Ω |
0.31116151999061 |
Real period |
R |
0.32399708334733 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000315 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15946a1 |
Quadratic twists by: -7 |