Atkin-Lehner |
3- 7- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467bc |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
18410892418611 = 37 · 72 · 112 · 175 |
Discriminant |
Eigenvalues |
1 3- -1 7- 11- 5 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17145,-834786] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:192:1] |
Generators of the group modulo torsion |
j |
15603672287329/515408091 |
j-invariant |
L |
7.3126430045418 |
L(r)(E,1)/r! |
Ω |
0.41806450416117 |
Real period |
R |
0.87458309974034 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007833 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27489q1 82467j1 |
Quadratic twists by: -3 -7 |