Atkin-Lehner |
2- 3+ 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
2040j |
Isogeny class |
Conductor |
2040 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-114750000000000 = -1 · 210 · 33 · 512 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 -4 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4584,-502884] |
[a1,a2,a3,a4,a6] |
j |
10400706415004/112060546875 |
j-invariant |
L |
1.1654172257314 |
L(r)(E,1)/r! |
Ω |
0.29135430643284 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4080l4 16320bh4 6120m4 10200r4 |
Quadratic twists by: -4 8 -3 5 |