Atkin-Lehner |
7- 19- 89- |
Signs for the Atkin-Lehner involutions |
Class |
82859a |
Isogeny class |
Conductor |
82859 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-3050243368342692011 = -1 · 712 · 195 · 89 |
Discriminant |
Eigenvalues |
-1 0 1 7- -5 5 1 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,196113,-77141998] |
[a1,a2,a3,a4,a6] |
j |
7090170810263631/25926640841339 |
j-invariant |
L |
1.2867734721691 |
L(r)(E,1)/r! |
Ω |
0.12867733670372 |
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 |
11837a1 |
Quadratic twists by: -7 |