Atkin-Lehner |
2+ 3- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
5490f |
Isogeny class |
Conductor |
5490 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536 |
Modular degree for the optimal curve |
Δ |
3557520 = 24 · 36 · 5 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 6 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-45,85] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:8:1] |
Generators of the group modulo torsion |
j |
13997521/4880 |
j-invariant |
L |
2.9555644705741 |
L(r)(E,1)/r! |
Ω |
2.2944302189762 |
Real period |
R |
1.2881474651658 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43920bt1 610c1 27450br1 |
Quadratic twists by: -4 -3 5 |