Atkin-Lehner |
2- 3+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
1692a |
Isogeny class |
Conductor |
1692 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
576 |
Modular degree for the optimal curve |
Δ |
236825856 = 28 · 39 · 47 |
Discriminant |
Eigenvalues |
2- 3+ 3 3 -1 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-216,-972] |
[a1,a2,a3,a4,a6] |
j |
221184/47 |
j-invariant |
L |
2.5281216762696 |
L(r)(E,1)/r! |
Ω |
1.2640608381348 |
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 |
6768j1 27072d1 1692b1 42300d1 |
Quadratic twists by: -4 8 -3 5 |