Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5440j |
Isogeny class |
Conductor |
5440 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
1920 |
Modular degree for the optimal curve |
Δ |
-1740800000 = -1 · 215 · 55 · 17 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 0 -5 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,255,1343] |
[a1,a2,a3,a4,a6] |
Generators |
[31:200:1] |
Generators of the group modulo torsion |
j |
55742968/53125 |
j-invariant |
L |
4.8562009662382 |
L(r)(E,1)/r! |
Ω |
0.97820577114155 |
Real period |
R |
0.24821980760608 |
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 |
5440k1 2720b1 48960bj1 27200g1 |
Quadratic twists by: -4 8 -3 5 |