Atkin-Lehner |
3- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
82467r |
Isogeny class |
Conductor |
82467 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5529600 |
Modular degree for the optimal curve |
Δ |
262962408490149753 = 315 · 78 · 11 · 172 |
Discriminant |
Eigenvalues |
1 3- 0 7- 11+ -6 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-97468947,370404365400] |
[a1,a2,a3,a4,a6] |
Generators |
[248269656:-45758068656:6859] |
Generators of the group modulo torsion |
j |
1194006714002239614625/3066040593 |
j-invariant |
L |
5.4048808347316 |
L(r)(E,1)/r! |
Ω |
0.20408839593887 |
Real period |
R |
13.241519225317 |
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 |
27489v1 11781d1 |
Quadratic twists by: -3 -7 |