Atkin-Lehner |
2- 3- 5- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
56640cx |
Isogeny class |
Conductor |
56640 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
319488 |
Modular degree for the optimal curve |
Δ |
-20782219316428800 = -1 · 231 · 38 · 52 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 5 1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-46145,-7931457] |
[a1,a2,a3,a4,a6] |
j |
-41454067728529/79277875200 |
j-invariant |
L |
4.9053145076171 |
L(r)(E,1)/r! |
Ω |
0.15329107837115 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56640q1 14160o1 |
Quadratic twists by: -4 8 |