Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
21840s |
Isogeny class |
Conductor |
21840 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
-6209330400000000 = -1 · 211 · 38 · 58 · 7 · 132 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,33600,-2947500] |
[a1,a2,a3,a4,a6] |
j |
2048324060764798/3031899609375 |
j-invariant |
L |
3.59498437491 |
L(r)(E,1)/r! |
Ω |
0.22468652343187 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10920n6 87360ea5 65520s5 109200o5 |
Quadratic twists by: -4 8 -3 5 |