Atkin-Lehner |
2+ 3- 5+ 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
82650v |
Isogeny class |
Conductor |
82650 |
Conductor |
∏ cp |
26 |
Product of Tamagawa factors cp |
deg |
673920 |
Modular degree for the optimal curve |
Δ |
-23028615689011200 = -1 · 220 · 313 · 52 · 19 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 -2 0 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19061,-7372672] |
[a1,a2,a3,a4,a6] |
Generators |
[243:1414:1] |
Generators of the group modulo torsion |
j |
-30632891625910705/921144627560448 |
j-invariant |
L |
6.3173826411315 |
L(r)(E,1)/r! |
Ω |
0.16530361531143 |
Real period |
R |
1.4698786537557 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956051 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82650by1 |
Quadratic twists by: 5 |