Atkin-Lehner |
2+ 3- 5+ 7- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
82950x |
Isogeny class |
Conductor |
82950 |
Conductor |
∏ cp |
156 |
Product of Tamagawa factors cp |
deg |
4942080 |
Modular degree for the optimal curve |
Δ |
-4.3201370331E+21 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- 3 0 -6 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-887526,3178587448] |
[a1,a2,a3,a4,a6] |
Generators |
[-628:-58749:1] |
Generators of the group modulo torsion |
j |
-4948188507826029649/276488770118400000 |
j-invariant |
L |
6.2408783250149 |
L(r)(E,1)/r! |
Ω |
0.1144154602499 |
Real period |
R |
0.34965231283452 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999997039 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
16590m1 |
Quadratic twists by: 5 |