Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467r |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-1.6410613044247E+23 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97431462,370703473209] |
[a1,a2,a3,a4,a6] |
Generators |
[-9504:666693:1] |
Generators of the group modulo torsion |
j |
-1192629656009513436625/1913414394041073 |
j-invariant |
L |
5.4048808347316 |
L(r)(E,1)/r! |
Ω |
0.10204419796944 |
Real period |
R |
6.6207596126583 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958453 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
27489v2 11781d2 |
Quadratic twists by: -3 -7 |