Atkin-Lehner |
2+ 3- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
4464c |
Isogeny class |
Conductor |
4464 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
-28146060144 = -1 · 24 · 310 · 313 |
Discriminant |
Eigenvalues |
2+ 3- -1 3 -2 4 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1263,19069] |
[a1,a2,a3,a4,a6] |
j |
-19102326016/2413071 |
j-invariant |
L |
2.2943371345988 |
L(r)(E,1)/r! |
Ω |
1.1471685672994 |
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 |
2232f1 17856br1 1488d1 111600bb1 |
Quadratic twists by: -4 8 -3 5 |