Atkin-Lehner |
5+ 11- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
16775a |
Isogeny class |
Conductor |
16775 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-32763671875 = -1 · 511 · 11 · 61 |
Discriminant |
Eigenvalues |
2 0 5+ 2 11- 3 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-1175,17781] |
[a1,a2,a3,a4,a6] |
j |
-11481993216/2096875 |
j-invariant |
L |
4.4876470352425 |
L(r)(E,1)/r! |
Ω |
1.1219117588106 |
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 |
3355b1 |
Quadratic twists by: 5 |