Atkin-Lehner |
2+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
81862d |
Isogeny class |
Conductor |
81862 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
878400 |
Modular degree for the optimal curve |
Δ |
-16870243543760728 = -1 · 23 · 11 · 618 |
Discriminant |
Eigenvalues |
2+ -2 0 2 11+ -1 0 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-401946,98249540] |
[a1,a2,a3,a4,a6] |
Generators |
[504289920343902:11214109643195801:591223474457] |
Generators of the group modulo torsion |
j |
-37461625/88 |
j-invariant |
L |
3.220336304786 |
L(r)(E,1)/r! |
Ω |
0.39113816357573 |
Real period |
R |
24.699734809916 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
81862j1 |
Quadratic twists by: 61 |