Atkin-Lehner |
3+ 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
82467c |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-95665872460851 = -1 · 33 · 76 · 116 · 17 |
Discriminant |
Eigenvalues |
1 3+ -2 7- 11+ 2 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,9252,320375] |
[a1,a2,a3,a4,a6] |
Generators |
[-122:3413:8] |
Generators of the group modulo torsion |
j |
27570978261/30116537 |
j-invariant |
L |
4.8811597022968 |
L(r)(E,1)/r! |
Ω |
0.39863222987141 |
Real period |
R |
6.1223846666988 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999972618 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82467d2 1683a2 |
Quadratic twists by: -3 -7 |