Atkin-Lehner |
2+ 3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
82950bf |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1858080 |
Modular degree for the optimal curve |
Δ |
-99916387416720000 = -1 · 27 · 35 · 54 · 77 · 792 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 2 1 1 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1699951,-853382302] |
[a1,a2,a3,a4,a6] |
j |
-869265688225298565625/159866219866752 |
j-invariant |
L |
1.9832476621579 |
L(r)(E,1)/r! |
Ω |
0.06610825552758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82950ca1 |
Quadratic twists by: 5 |