Atkin-Lehner |
2+ 3+ 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600l |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
43008 |
Modular degree for the optimal curve |
Δ |
51600000000 = 210 · 3 · 58 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 2 -2 -8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1408,-16688] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:52:1] [-18:50:1] |
Generators of the group modulo torsion |
j |
19307236/3225 |
j-invariant |
L |
8.0322215073539 |
L(r)(E,1)/r! |
Ω |
0.78818212332229 |
Real period |
R |
2.547704797432 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25800k1 10320h1 |
Quadratic twists by: -4 5 |