Atkin-Lehner |
2- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
5440t |
Isogeny class |
Conductor |
5440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3072 |
Modular degree for the optimal curve |
Δ |
1782579200 = 222 · 52 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 -2 6 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-481,-3681] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:20:1] |
Generators of the group modulo torsion |
j |
47045881/6800 |
j-invariant |
L |
2.6820109786666 |
L(r)(E,1)/r! |
Ω |
1.0290959786782 |
Real period |
R |
1.3030907875626 |
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 |
5440c1 1360j1 48960fe1 27200ca1 |
Quadratic twists by: -4 8 -3 5 |