Atkin-Lehner |
3- 5- 23- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
16215h |
Isogeny class |
Conductor |
16215 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
4032 |
Modular degree for the optimal curve |
Δ |
-17528415 = -1 · 3 · 5 · 232 · 472 |
Discriminant |
Eigenvalues |
-1 3- 5- 2 0 0 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-360,2607] |
[a1,a2,a3,a4,a6] |
j |
-5160676199041/17528415 |
j-invariant |
L |
2.1966312964577 |
L(r)(E,1)/r! |
Ω |
2.1966312964577 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48645d1 81075a1 |
Quadratic twists by: -3 5 |