Atkin-Lehner |
2+ 7- 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
81872g |
Isogeny class |
Conductor |
81872 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-28082096 = -1 · 24 · 74 · 17 · 43 |
Discriminant |
Eigenvalues |
2+ 3 1 7- 2 1 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-82,383] |
[a1,a2,a3,a4,a6] |
j |
-3811055616/1755131 |
j-invariant |
L |
7.8600539183455 |
L(r)(E,1)/r! |
Ω |
1.9650135063067 |
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 |
40936b1 |
Quadratic twists by: -4 |