Atkin-Lehner |
2- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
82810cr |
Isogeny class |
Conductor |
82810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
253305355940 = 22 · 5 · 78 · 133 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 2 13- -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2827,53239] |
[a1,a2,a3,a4,a6] |
Generators |
[1822:25839:8] |
Generators of the group modulo torsion |
j |
9663597/980 |
j-invariant |
L |
10.120982626881 |
L(r)(E,1)/r! |
Ω |
0.95611466774933 |
Real period |
R |
2.6463830553874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003877 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11830r1 82810t1 |
Quadratic twists by: -7 13 |