Atkin-Lehner |
3- 11+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
5247a |
Isogeny class |
Conductor |
5247 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-1589007246453 = -1 · 36 · 114 · 533 |
Discriminant |
Eigenvalues |
-1 3- -4 4 11+ 1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3227,93840] |
[a1,a2,a3,a4,a6] |
Generators |
[222:3095:1] |
Generators of the group modulo torsion |
j |
-5096439860329/2179708157 |
j-invariant |
L |
2.0092260688469 |
L(r)(E,1)/r! |
Ω |
0.79131204026727 |
Real period |
R |
0.42318452700577 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83952t1 583b1 57717v1 |
Quadratic twists by: -4 -3 -11 |