Atkin-Lehner |
2+ 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
48400bb |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
428717762000000000 = 210 · 59 · 118 |
Discriminant |
Eigenvalues |
2+ 2 5- -4 11- -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-267208,-42737088] |
[a1,a2,a3,a4,a6] |
Generators |
[942:23250:1] |
Generators of the group modulo torsion |
j |
595508/121 |
j-invariant |
L |
6.8248366470518 |
L(r)(E,1)/r! |
Ω |
0.21297809889171 |
Real period |
R |
4.0055976897197 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24200be2 48400be2 4400f2 |
Quadratic twists by: -4 5 -11 |