Atkin-Lehner |
3- 13- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
5499h |
Isogeny class |
Conductor |
5499 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
3108236673789 = 311 · 132 · 473 |
Discriminant |
Eigenvalues |
2 3- 1 -1 -1 13- -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-28947,-1893731] |
[a1,a2,a3,a4,a6] |
Generators |
[-766:77:8] |
Generators of the group modulo torsion |
j |
3679653013295104/4263699141 |
j-invariant |
L |
7.5125124361722 |
L(r)(E,1)/r! |
Ω |
0.36604028109835 |
Real period |
R |
2.5654664336497 |
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 |
87984bx1 1833d1 71487r1 |
Quadratic twists by: -4 -3 13 |