Atkin-Lehner |
2+ 3- 7+ 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
48048q |
Isogeny class |
Conductor |
48048 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
2553742743552 = 211 · 34 · 72 · 11 · 134 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 11+ 13- -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23504,1377012] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:1404:1] |
Generators of the group modulo torsion |
j |
701193000991394/1246944699 |
j-invariant |
L |
5.1672569987756 |
L(r)(E,1)/r! |
Ω |
0.81249079412817 |
Real period |
R |
0.79497162246415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000026 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
24024x4 |
Quadratic twists by: -4 |