Atkin-Lehner |
2- 3+ 5+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600bx |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
36799488000000 = 216 · 33 · 56 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11+ -2 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-34875,-2489750] |
[a1,a2,a3,a4,a6] |
j |
2714704875/21296 |
j-invariant |
L |
1.3980941830274 |
L(r)(E,1)/r! |
Ω |
0.3495235457775 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4950z1 39600ce3 1584h1 |
Quadratic twists by: -4 -3 5 |