Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
17472bv |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
13418496 = 214 · 32 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ 0 13- 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1937,-32175] |
[a1,a2,a3,a4,a6] |
Generators |
[2208:15965:27] |
Generators of the group modulo torsion |
j |
49081386832/819 |
j-invariant |
L |
4.9428130685695 |
L(r)(E,1)/r! |
Ω |
0.71961283658924 |
Real period |
R |
6.8687116422173 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
17472bj2 4368v2 52416fl2 122304hi2 |
Quadratic twists by: -4 8 -3 -7 |