Atkin-Lehner |
2+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
48400f |
Isogeny class |
Conductor |
48400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
532400000000 = 210 · 58 · 113 |
Discriminant |
Eigenvalues |
2+ -2 5+ 0 11+ -2 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5408,-150812] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:22:1] |
Generators of the group modulo torsion |
j |
821516/25 |
j-invariant |
L |
3.9363742459624 |
L(r)(E,1)/r! |
Ω |
0.55775362349844 |
Real period |
R |
1.7643875719124 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
24200u2 9680c2 48400e2 |
Quadratic twists by: -4 5 -11 |