Atkin-Lehner |
2- 3+ 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472cg |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24726933504 = 212 · 36 · 72 · 132 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- -4 13+ 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-729,729] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:52:1] |
Generators of the group modulo torsion |
j |
10474708672/6036849 |
j-invariant |
L |
3.3887045355004 |
L(r)(E,1)/r! |
Ω |
1.0179480754975 |
Real period |
R |
1.6644780893389 |
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 |
17472co2 8736k1 52416fz2 122304ik2 |
Quadratic twists by: -4 8 -3 -7 |