Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467q |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-32990710337739 = -1 · 36 · 76 · 113 · 172 |
Discriminant |
Eigenvalues |
0 3- 3 7- 11+ -2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,4704,246874] |
[a1,a2,a3,a4,a6] |
Generators |
[182:2670:1] |
Generators of the group modulo torsion |
j |
134217728/384659 |
j-invariant |
L |
6.4849493138459 |
L(r)(E,1)/r! |
Ω |
0.46145160889987 |
Real period |
R |
3.5133420252587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999894546 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9163g1 1683h1 |
Quadratic twists by: -3 -7 |