Atkin-Lehner |
2- 3- 29+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
59856p |
Isogeny class |
Conductor |
59856 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
164160 |
Modular degree for the optimal curve |
Δ |
10837762953216 = 212 · 3 · 295 · 43 |
Discriminant |
Eigenvalues |
2- 3- 3 2 5 -2 7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10389,372099] |
[a1,a2,a3,a4,a6] |
j |
30277973573632/2645938221 |
j-invariant |
L |
6.3182852621284 |
L(r)(E,1)/r! |
Ω |
0.70203169590857 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3741a1 |
Quadratic twists by: -4 |