Atkin-Lehner |
2- 3- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
51660k |
Isogeny class |
Conductor |
51660 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
68678901506552400 = 24 · 311 · 52 · 73 · 414 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 2 -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-224832,39047969] |
[a1,a2,a3,a4,a6] |
j |
107758260588642304/5888108839725 |
j-invariant |
L |
2.0530085973855 |
L(r)(E,1)/r! |
Ω |
0.34216809970393 |
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 |
17220b1 |
Quadratic twists by: -3 |