Atkin-Lehner |
2+ 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824d |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
36864 |
Modular degree for the optimal curve |
Δ |
599874539472 = 24 · 310 · 133 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 0 -2 -2 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-7050,-224773] |
[a1,a2,a3,a4,a6] |
j |
3322336000000/51429573 |
j-invariant |
L |
1.0430128383366 |
L(r)(E,1)/r! |
Ω |
0.52150641916849 |
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 |
15912m1 127296ct1 10608b1 |
Quadratic twists by: -4 8 -3 |