Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472a |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
25320379908096 = 222 · 36 · 72 · 132 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 4 13+ -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8737,203425] |
[a1,a2,a3,a4,a6] |
Generators |
[-96:385:1] |
Generators of the group modulo torsion |
j |
281397674377/96589584 |
j-invariant |
L |
4.9745949897169 |
L(r)(E,1)/r! |
Ω |
0.61679392119372 |
Real period |
R |
4.0326232302106 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17472cw2 546c2 52416bq2 122304ef2 |
Quadratic twists by: -4 8 -3 -7 |