Atkin-Lehner |
2+ 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472h |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
825452199936 = 216 · 32 · 72 · 134 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-37857,-2822175] |
[a1,a2,a3,a4,a6] |
j |
91557481657828/12595401 |
j-invariant |
L |
2.7381398251039 |
L(r)(E,1)/r! |
Ω |
0.34226747813799 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17472cm3 2184m3 52416co4 122304eg4 |
Quadratic twists by: -4 8 -3 -7 |