Atkin-Lehner |
2- 5+ 31+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
82150h |
Isogeny class |
Conductor |
82150 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
-203732000000 = -1 · 28 · 56 · 312 · 53 |
Discriminant |
Eigenvalues |
2- 3 5+ 2 0 5 1 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-705,-22703] |
[a1,a2,a3,a4,a6] |
j |
-2476813977/13038848 |
j-invariant |
L |
13.350579585716 |
L(r)(E,1)/r! |
Ω |
0.41720561210081 |
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 |
3286c1 |
Quadratic twists by: 5 |